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Finding the Fourth Proportional to 945.61, 1,416.97 and 397.49

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Solution

The fourth proportional to 945.61, 1,416.97 and 397.49 is: 595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.61 : 1,416.97 = 397.49 : x
  2. Step 2: Convert to fraction form
    945.61/1,416.97 = 397.49/x
  3. Step 3: Cross multiply
    945.61x = 1,416.97 × 397.49
  4. Step 4: Simplify right side
    945.61x = 563,230.41
  5. Step 5: Solve for x
    x = 563,230.41/945.61
  6. Step 6: Final answer
    x = 595.63

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.