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Finding the Fourth Proportional to 621.25, 931.87 and 468.16

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Solution

The fourth proportional to 621.25, 931.87 and 468.16 is: 702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.25 : 931.87 = 468.16 : x
  2. Step 2: Convert to fraction form
    621.25/931.87 = 468.16/x
  3. Step 3: Cross multiply
    621.25x = 931.87 × 468.16
  4. Step 4: Simplify right side
    621.25x = 436,264.26
  5. Step 5: Solve for x
    x = 436,264.26/621.25
  6. Step 6: Final answer
    x = 702.24

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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.