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Finding the Fourth Proportional to 415.77, 573.54 and 337.18

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Solution

The fourth proportional to 415.77, 573.54 and 337.18 is: 465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.77 : 573.54 = 337.18 : x
  2. Step 2: Convert to fraction form
    415.77/573.54 = 337.18/x
  3. Step 3: Cross multiply
    415.77x = 573.54 × 337.18
  4. Step 4: Simplify right side
    415.77x = 193,385.63
  5. Step 5: Solve for x
    x = 193,385.63/415.77
  6. Step 6: Final answer
    x = 465.13

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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.