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Finding the Fourth Proportional to 560.02, 840.81 and 286.30

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Solution

The fourth proportional to 560.02, 840.81 and 286.30 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.02 : 840.81 = 286.30 : x
  2. Step 2: Convert to fraction form
    560.02/840.81 = 286.30/x
  3. Step 3: Cross multiply
    560.02x = 840.81 × 286.30
  4. Step 4: Simplify right side
    560.02x = 240,723.90
  5. Step 5: Solve for x
    x = 240,723.90/560.02
  6. Step 6: Final answer
    x = 429.85

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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.