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Finding the Fourth Proportional to 566.27, 780.04 and 472.98

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Solution

The fourth proportional to 566.27, 780.04 and 472.98 is: 651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.27 : 780.04 = 472.98 : x
  2. Step 2: Convert to fraction form
    566.27/780.04 = 472.98/x
  3. Step 3: Cross multiply
    566.27x = 780.04 × 472.98
  4. Step 4: Simplify right side
    566.27x = 368,943.32
  5. Step 5: Solve for x
    x = 368,943.32/566.27
  6. Step 6: Final answer
    x = 651.53

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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.