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Finding the Fourth Proportional to 357.06, 532.24 and 317.82

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Solution

The fourth proportional to 357.06, 532.24 and 317.82 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.06 : 532.24 = 317.82 : x
  2. Step 2: Convert to fraction form
    357.06/532.24 = 317.82/x
  3. Step 3: Cross multiply
    357.06x = 532.24 × 317.82
  4. Step 4: Simplify right side
    357.06x = 169,156.52
  5. Step 5: Solve for x
    x = 169,156.52/357.06
  6. Step 6: Final answer
    x = 473.75

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