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Finding the Fourth Proportional to 560.76, 840.63 and 474.65

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Solution

The fourth proportional to 560.76, 840.63 and 474.65 is: 711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 840.63 = 474.65 : x
  2. Step 2: Convert to fraction form
    560.76/840.63 = 474.65/x
  3. Step 3: Cross multiply
    560.76x = 840.63 × 474.65
  4. Step 4: Simplify right side
    560.76x = 399,001.91
  5. Step 5: Solve for x
    x = 399,001.91/560.76
  6. Step 6: Final answer
    x = 711.54

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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.