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Finding the Fourth Proportional to 345.87, 477.50 and 332.10

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Solution

The fourth proportional to 345.87, 477.50 and 332.10 is: 458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.87 : 477.50 = 332.10 : x
  2. Step 2: Convert to fraction form
    345.87/477.50 = 332.10/x
  3. Step 3: Cross multiply
    345.87x = 477.50 × 332.10
  4. Step 4: Simplify right side
    345.87x = 158,576.09
  5. Step 5: Solve for x
    x = 158,576.09/345.87
  6. Step 6: Final answer
    x = 458.48

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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.