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Finding the Fourth Proportional to 560.58, 840.87 and 398.58

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Solution

The fourth proportional to 560.58, 840.87 and 398.58 is: 597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.58 : 840.87 = 398.58 : x
  2. Step 2: Convert to fraction form
    560.58/840.87 = 398.58/x
  3. Step 3: Cross multiply
    560.58x = 840.87 × 398.58
  4. Step 4: Simplify right side
    560.58x = 335,153.96
  5. Step 5: Solve for x
    x = 335,153.96/560.58
  6. Step 6: Final answer
    x = 597.87

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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.