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Finding the Fourth Proportional to 560.38, 840.66 and 286.36

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Solution

The fourth proportional to 560.38, 840.66 and 286.36 is: 429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.38 : 840.66 = 286.36 : x
  2. Step 2: Convert to fraction form
    560.38/840.66 = 286.36/x
  3. Step 3: Cross multiply
    560.38x = 840.66 × 286.36
  4. Step 4: Simplify right side
    560.38x = 240,731.40
  5. Step 5: Solve for x
    x = 240,731.40/560.38
  6. Step 6: Final answer
    x = 429.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.