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Finding the Fourth Proportional to 465.03, 641.52 and 307.71

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Solution

The fourth proportional to 465.03, 641.52 and 307.71 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.03 : 641.52 = 307.71 : x
  2. Step 2: Convert to fraction form
    465.03/641.52 = 307.71/x
  3. Step 3: Cross multiply
    465.03x = 641.52 × 307.71
  4. Step 4: Simplify right side
    465.03x = 197,402.12
  5. Step 5: Solve for x
    x = 197,402.12/465.03
  6. Step 6: Final answer
    x = 424.49

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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.