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Finding the Fourth Proportional to 560.28, 772.29 and 442.05

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Solution

The fourth proportional to 560.28, 772.29 and 442.05 is: 609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.28 : 772.29 = 442.05 : x
  2. Step 2: Convert to fraction form
    560.28/772.29 = 442.05/x
  3. Step 3: Cross multiply
    560.28x = 772.29 × 442.05
  4. Step 4: Simplify right side
    560.28x = 341,390.51
  5. Step 5: Solve for x
    x = 341,390.51/560.28
  6. Step 6: Final answer
    x = 609.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.