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Finding the Fourth Proportional to 646.08, 891.18 and 425.31

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Solution

The fourth proportional to 646.08, 891.18 and 425.31 is: 586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.08 : 891.18 = 425.31 : x
  2. Step 2: Convert to fraction form
    646.08/891.18 = 425.31/x
  3. Step 3: Cross multiply
    646.08x = 891.18 × 425.31
  4. Step 4: Simplify right side
    646.08x = 379,027.77
  5. Step 5: Solve for x
    x = 379,027.77/646.08
  6. Step 6: Final answer
    x = 586.66

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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.