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Finding the Fourth Proportional to 507.60, 701.16 and 500.16

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Solution

The fourth proportional to 507.60, 701.16 and 500.16 is: 690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 701.16 = 500.16 : x
  2. Step 2: Convert to fraction form
    507.60/701.16 = 500.16/x
  3. Step 3: Cross multiply
    507.60x = 701.16 × 500.16
  4. Step 4: Simplify right side
    507.60x = 350,692.19
  5. Step 5: Solve for x
    x = 350,692.19/507.60
  6. Step 6: Final answer
    x = 690.88

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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.