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Finding the Fourth Proportional to 607.52, 837.88 and 410.72

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Solution

The fourth proportional to 607.52, 837.88 and 410.72 is: 566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.52 : 837.88 = 410.72 : x
  2. Step 2: Convert to fraction form
    607.52/837.88 = 410.72/x
  3. Step 3: Cross multiply
    607.52x = 837.88 × 410.72
  4. Step 4: Simplify right side
    607.52x = 344,134.07
  5. Step 5: Solve for x
    x = 344,134.07/607.52
  6. Step 6: Final answer
    x = 566.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.