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Finding the Fourth Proportional to 560.78, 841.24 and 214.38

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Solution

The fourth proportional to 560.78, 841.24 and 214.38 is: 321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.78 : 841.24 = 214.38 : x
  2. Step 2: Convert to fraction form
    560.78/841.24 = 214.38/x
  3. Step 3: Cross multiply
    560.78x = 841.24 × 214.38
  4. Step 4: Simplify right side
    560.78x = 180,345.03
  5. Step 5: Solve for x
    x = 180,345.03/560.78
  6. Step 6: Final answer
    x = 321.60

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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.