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Finding the Fourth Proportional to 525.16, 724.71 and 292.29

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Solution

The fourth proportional to 525.16, 724.71 and 292.29 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 724.71 = 292.29 : x
  2. Step 2: Convert to fraction form
    525.16/724.71 = 292.29/x
  3. Step 3: Cross multiply
    525.16x = 724.71 × 292.29
  4. Step 4: Simplify right side
    525.16x = 211,825.49
  5. Step 5: Solve for x
    x = 211,825.49/525.16
  6. Step 6: Final answer
    x = 403.35

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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.