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Finding the Fourth Proportional to 473.16, 708.33 and 342.69

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Solution

The fourth proportional to 473.16, 708.33 and 342.69 is: 513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.16 : 708.33 = 342.69 : x
  2. Step 2: Convert to fraction form
    473.16/708.33 = 342.69/x
  3. Step 3: Cross multiply
    473.16x = 708.33 × 342.69
  4. Step 4: Simplify right side
    473.16x = 242,737.61
  5. Step 5: Solve for x
    x = 242,737.61/473.16
  6. Step 6: Final answer
    x = 513.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.