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Finding the Fourth Proportional to 473.14, 652.35 and 342.10

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Solution

The fourth proportional to 473.14, 652.35 and 342.10 is: 471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.14 : 652.35 = 342.10 : x
  2. Step 2: Convert to fraction form
    473.14/652.35 = 342.10/x
  3. Step 3: Cross multiply
    473.14x = 652.35 × 342.10
  4. Step 4: Simplify right side
    473.14x = 223,168.94
  5. Step 5: Solve for x
    x = 223,168.94/473.14
  6. Step 6: Final answer
    x = 471.68

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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.