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Finding the Fourth Proportional to 566.52, 783.53 and 487.92

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Solution

The fourth proportional to 566.52, 783.53 and 487.92 is: 674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.52 : 783.53 = 487.92 : x
  2. Step 2: Convert to fraction form
    566.52/783.53 = 487.92/x
  3. Step 3: Cross multiply
    566.52x = 783.53 × 487.92
  4. Step 4: Simplify right side
    566.52x = 382,297.52
  5. Step 5: Solve for x
    x = 382,297.52/566.52
  6. Step 6: Final answer
    x = 674.82

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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.