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Finding the Fourth Proportional to 508.67, 701.75 and 473.93

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Solution

The fourth proportional to 508.67, 701.75 and 473.93 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.67 : 701.75 = 473.93 : x
  2. Step 2: Convert to fraction form
    508.67/701.75 = 473.93/x
  3. Step 3: Cross multiply
    508.67x = 701.75 × 473.93
  4. Step 4: Simplify right side
    508.67x = 332,574.50
  5. Step 5: Solve for x
    x = 332,574.50/508.67
  6. Step 6: Final answer
    x = 653.82

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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.