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Finding the Fourth Proportional to 560.88, 840.86 and 500.14

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Solution

The fourth proportional to 560.88, 840.86 and 500.14 is: 749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.88 : 840.86 = 500.14 : x
  2. Step 2: Convert to fraction form
    560.88/840.86 = 500.14/x
  3. Step 3: Cross multiply
    560.88x = 840.86 × 500.14
  4. Step 4: Simplify right side
    560.88x = 420,547.72
  5. Step 5: Solve for x
    x = 420,547.72/560.88
  6. Step 6: Final answer
    x = 749.80

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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.