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Finding the Fourth Proportional to 560.06, 772.72 and 324.08

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Solution

The fourth proportional to 560.06, 772.72 and 324.08 is: 447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.06 : 772.72 = 324.08 : x
  2. Step 2: Convert to fraction form
    560.06/772.72 = 324.08/x
  3. Step 3: Cross multiply
    560.06x = 772.72 × 324.08
  4. Step 4: Simplify right side
    560.06x = 250,423.10
  5. Step 5: Solve for x
    x = 250,423.10/560.06
  6. Step 6: Final answer
    x = 447.14

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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.