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Finding the Fourth Proportional to 560.89, 837.55 and 458.37

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Solution

The fourth proportional to 560.89, 837.55 and 458.37 is: 684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.89 : 837.55 = 458.37 : x
  2. Step 2: Convert to fraction form
    560.89/837.55 = 458.37/x
  3. Step 3: Cross multiply
    560.89x = 837.55 × 458.37
  4. Step 4: Simplify right side
    560.89x = 383,907.79
  5. Step 5: Solve for x
    x = 383,907.79/560.89
  6. Step 6: Final answer
    x = 684.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.