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Finding the Fourth Proportional to 684.99, 945.54 and 463.50

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Solution

The fourth proportional to 684.99, 945.54 and 463.50 is: 639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 945.54 = 463.50 : x
  2. Step 2: Convert to fraction form
    684.99/945.54 = 463.50/x
  3. Step 3: Cross multiply
    684.99x = 945.54 × 463.50
  4. Step 4: Simplify right side
    684.99x = 438,257.79
  5. Step 5: Solve for x
    x = 438,257.79/684.99
  6. Step 6: Final answer
    x = 639.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.