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Finding the Fourth Proportional to 415.16, 573.30 and 332

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Solution

The fourth proportional to 415.16, 573.30 and 332 is: 458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 573.30 = 332 : x
  2. Step 2: Convert to fraction form
    415.16/573.30 = 332/x
  3. Step 3: Cross multiply
    415.16x = 573.30 × 332
  4. Step 4: Simplify right side
    415.16x = 190,335.60
  5. Step 5: Solve for x
    x = 190,335.60/415.16
  6. Step 6: Final answer
    x = 458.46

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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.