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Finding the Fourth Proportional to 560.10, 840.09 and 286.08

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Solution

The fourth proportional to 560.10, 840.09 and 286.08 is: 429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.10 : 840.09 = 286.08 : x
  2. Step 2: Convert to fraction form
    560.10/840.09 = 286.08/x
  3. Step 3: Cross multiply
    560.10x = 840.09 × 286.08
  4. Step 4: Simplify right side
    560.10x = 240,332.95
  5. Step 5: Solve for x
    x = 240,332.95/560.10
  6. Step 6: Final answer
    x = 429.09

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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.