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Finding the Fourth Proportional to 473.93, 710.85 and 291.23

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Solution

The fourth proportional to 473.93, 710.85 and 291.23 is: 436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.93 : 710.85 = 291.23 : x
  2. Step 2: Convert to fraction form
    473.93/710.85 = 291.23/x
  3. Step 3: Cross multiply
    473.93x = 710.85 × 291.23
  4. Step 4: Simplify right side
    473.93x = 207,020.85
  5. Step 5: Solve for x
    x = 207,020.85/473.93
  6. Step 6: Final answer
    x = 436.82

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