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Finding the Fourth Proportional to 473.65, 710.72 and 401.41

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Solution

The fourth proportional to 473.65, 710.72 and 401.41 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.65 : 710.72 = 401.41 : x
  2. Step 2: Convert to fraction form
    473.65/710.72 = 401.41/x
  3. Step 3: Cross multiply
    473.65x = 710.72 × 401.41
  4. Step 4: Simplify right side
    473.65x = 285,288.76
  5. Step 5: Solve for x
    x = 285,288.76/473.65
  6. Step 6: Final answer
    x = 602.32

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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.