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Finding the Fourth Proportional to 473.40, 653.10 and 342.12

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Solution

The fourth proportional to 473.40, 653.10 and 342.12 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 653.10 = 342.12 : x
  2. Step 2: Convert to fraction form
    473.40/653.10 = 342.12/x
  3. Step 3: Cross multiply
    473.40x = 653.10 × 342.12
  4. Step 4: Simplify right side
    473.40x = 223,438.57
  5. Step 5: Solve for x
    x = 223,438.57/473.40
  6. Step 6: Final answer
    x = 471.99

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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.