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Finding the Fourth Proportional to 341.52, 469.89 and 332.40

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Solution

The fourth proportional to 341.52, 469.89 and 332.40 is: 457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.52 : 469.89 = 332.40 : x
  2. Step 2: Convert to fraction form
    341.52/469.89 = 332.40/x
  3. Step 3: Cross multiply
    341.52x = 469.89 × 332.40
  4. Step 4: Simplify right side
    341.52x = 156,191.44
  5. Step 5: Solve for x
    x = 156,191.44/341.52
  6. Step 6: Final answer
    x = 457.34

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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.