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Finding the Fourth Proportional to 525.16, 724.33 and 501.90

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Solution

The fourth proportional to 525.16, 724.33 and 501.90 is: 692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 724.33 = 501.90 : x
  2. Step 2: Convert to fraction form
    525.16/724.33 = 501.90/x
  3. Step 3: Cross multiply
    525.16x = 724.33 × 501.90
  4. Step 4: Simplify right side
    525.16x = 363,541.23
  5. Step 5: Solve for x
    x = 363,541.23/525.16
  6. Step 6: Final answer
    x = 692.25

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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.