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Finding the Fourth Proportional to 474.24, 653.58 and 415.11

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Solution

The fourth proportional to 474.24, 653.58 and 415.11 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 653.58 = 415.11 : x
  2. Step 2: Convert to fraction form
    474.24/653.58 = 415.11/x
  3. Step 3: Cross multiply
    474.24x = 653.58 × 415.11
  4. Step 4: Simplify right side
    474.24x = 271,307.59
  5. Step 5: Solve for x
    x = 271,307.59/474.24
  6. Step 6: Final answer
    x = 572.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.