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Finding the Fourth Proportional to 560.22, 840.55 and 286.38

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Solution

The fourth proportional to 560.22, 840.55 and 286.38 is: 429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.22 : 840.55 = 286.38 : x
  2. Step 2: Convert to fraction form
    560.22/840.55 = 286.38/x
  3. Step 3: Cross multiply
    560.22x = 840.55 × 286.38
  4. Step 4: Simplify right side
    560.22x = 240,716.71
  5. Step 5: Solve for x
    x = 240,716.71/560.22
  6. Step 6: Final answer
    x = 429.68

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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.