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Finding the Fourth Proportional to 560.30, 772.41 and 394.01

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Solution

The fourth proportional to 560.30, 772.41 and 394.01 is: 543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.30 : 772.41 = 394.01 : x
  2. Step 2: Convert to fraction form
    560.30/772.41 = 394.01/x
  3. Step 3: Cross multiply
    560.30x = 772.41 × 394.01
  4. Step 4: Simplify right side
    560.30x = 304,333.40
  5. Step 5: Solve for x
    x = 304,333.40/560.30
  6. Step 6: Final answer
    x = 543.16

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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.