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Finding the Fourth Proportional to 525.07, 724.59 and 292.24

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Solution

The fourth proportional to 525.07, 724.59 and 292.24 is: 403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.07 : 724.59 = 292.24 : x
  2. Step 2: Convert to fraction form
    525.07/724.59 = 292.24/x
  3. Step 3: Cross multiply
    525.07x = 724.59 × 292.24
  4. Step 4: Simplify right side
    525.07x = 211,754.18
  5. Step 5: Solve for x
    x = 211,754.18/525.07
  6. Step 6: Final answer
    x = 403.29

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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.