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Finding the Fourth Proportional to 560.71, 772.12 and 403.06

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Solution

The fourth proportional to 560.71, 772.12 and 403.06 is: 555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.71 : 772.12 = 403.06 : x
  2. Step 2: Convert to fraction form
    560.71/772.12 = 403.06/x
  3. Step 3: Cross multiply
    560.71x = 772.12 × 403.06
  4. Step 4: Simplify right side
    560.71x = 311,211.57
  5. Step 5: Solve for x
    x = 311,211.57/560.71
  6. Step 6: Final answer
    x = 555.03

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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.