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Finding the Fourth Proportional to 525.16, 724.65 and 292.30

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Solution

The fourth proportional to 525.16, 724.65 and 292.30 is: 403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 724.65 = 292.30 : x
  2. Step 2: Convert to fraction form
    525.16/724.65 = 292.30/x
  3. Step 3: Cross multiply
    525.16x = 724.65 × 292.30
  4. Step 4: Simplify right side
    525.16x = 211,815.20
  5. Step 5: Solve for x
    x = 211,815.20/525.16
  6. Step 6: Final answer
    x = 403.33

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