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Finding the Fourth Proportional to 337.47, 462.69 and 328.35

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Solution

The fourth proportional to 337.47, 462.69 and 328.35 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.47 : 462.69 = 328.35 : x
  2. Step 2: Convert to fraction form
    337.47/462.69 = 328.35/x
  3. Step 3: Cross multiply
    337.47x = 462.69 × 328.35
  4. Step 4: Simplify right side
    337.47x = 151,925.07
  5. Step 5: Solve for x
    x = 151,925.07/337.47
  6. Step 6: Final answer
    x = 450.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.