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Finding the Fourth Proportional to 415.08, 572.82 and 305.16

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Solution

The fourth proportional to 415.08, 572.82 and 305.16 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.08 : 572.82 = 305.16 : x
  2. Step 2: Convert to fraction form
    415.08/572.82 = 305.16/x
  3. Step 3: Cross multiply
    415.08x = 572.82 × 305.16
  4. Step 4: Simplify right side
    415.08x = 174,801.75
  5. Step 5: Solve for x
    x = 174,801.75/415.08
  6. Step 6: Final answer
    x = 421.13

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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.