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Finding the Fourth Proportional to 560.89, 841.29 and 314.08

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Solution

The fourth proportional to 560.89, 841.29 and 314.08 is: 471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.89 : 841.29 = 314.08 : x
  2. Step 2: Convert to fraction form
    560.89/841.29 = 314.08/x
  3. Step 3: Cross multiply
    560.89x = 841.29 × 314.08
  4. Step 4: Simplify right side
    560.89x = 264,229.08
  5. Step 5: Solve for x
    x = 264,229.08/560.89
  6. Step 6: Final answer
    x = 471.09

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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.