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Finding the Fourth Proportional to 670.61, 925.94 and 434.70

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Solution

The fourth proportional to 670.61, 925.94 and 434.70 is: 600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.61 : 925.94 = 434.70 : x
  2. Step 2: Convert to fraction form
    670.61/925.94 = 434.70/x
  3. Step 3: Cross multiply
    670.61x = 925.94 × 434.70
  4. Step 4: Simplify right side
    670.61x = 402,506.12
  5. Step 5: Solve for x
    x = 402,506.12/670.61
  6. Step 6: Final answer
    x = 600.21

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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.