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Finding the Fourth Proportional to 473.67, 707.65 and 470.97

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Solution

The fourth proportional to 473.67, 707.65 and 470.97 is: 703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.67 : 707.65 = 470.97 : x
  2. Step 2: Convert to fraction form
    473.67/707.65 = 470.97/x
  3. Step 3: Cross multiply
    473.67x = 707.65 × 470.97
  4. Step 4: Simplify right side
    473.67x = 333,280.74
  5. Step 5: Solve for x
    x = 333,280.74/473.67
  6. Step 6: Final answer
    x = 703.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.