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Finding the Fourth Proportional to 568.64, 852.40 and 507.52

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Solution

The fourth proportional to 568.64, 852.40 and 507.52 is: 760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.64 : 852.40 = 507.52 : x
  2. Step 2: Convert to fraction form
    568.64/852.40 = 507.52/x
  3. Step 3: Cross multiply
    568.64x = 852.40 × 507.52
  4. Step 4: Simplify right side
    568.64x = 432,610.05
  5. Step 5: Solve for x
    x = 432,610.05/568.64
  6. Step 6: Final answer
    x = 760.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.