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Finding the Fourth Proportional to 646.74, 970.05 and 402.42

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Solution

The fourth proportional to 646.74, 970.05 and 402.42 is: 603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 970.05 = 402.42 : x
  2. Step 2: Convert to fraction form
    646.74/970.05 = 402.42/x
  3. Step 3: Cross multiply
    646.74x = 970.05 × 402.42
  4. Step 4: Simplify right side
    646.74x = 390,367.52
  5. Step 5: Solve for x
    x = 390,367.52/646.74
  6. Step 6: Final answer
    x = 603.59

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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.