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Finding the Fourth Proportional to 473.34, 652.14 and 415.02

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Solution

The fourth proportional to 473.34, 652.14 and 415.02 is: 571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.34 : 652.14 = 415.02 : x
  2. Step 2: Convert to fraction form
    473.34/652.14 = 415.02/x
  3. Step 3: Cross multiply
    473.34x = 652.14 × 415.02
  4. Step 4: Simplify right side
    473.34x = 270,651.14
  5. Step 5: Solve for x
    x = 270,651.14/473.34
  6. Step 6: Final answer
    x = 571.79

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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.