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Finding the Fourth Proportional to 560.04, 772.83 and 307.96

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Solution

The fourth proportional to 560.04, 772.83 and 307.96 is: 424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.04 : 772.83 = 307.96 : x
  2. Step 2: Convert to fraction form
    560.04/772.83 = 307.96/x
  3. Step 3: Cross multiply
    560.04x = 772.83 × 307.96
  4. Step 4: Simplify right side
    560.04x = 238,000.73
  5. Step 5: Solve for x
    x = 238,000.73/560.04
  6. Step 6: Final answer
    x = 424.97

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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.