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Finding the Fourth Proportional to 357.84, 534.06 and 314.73

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Solution

The fourth proportional to 357.84, 534.06 and 314.73 is: 469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.84 : 534.06 = 314.73 : x
  2. Step 2: Convert to fraction form
    357.84/534.06 = 314.73/x
  3. Step 3: Cross multiply
    357.84x = 534.06 × 314.73
  4. Step 4: Simplify right side
    357.84x = 168,084.70
  5. Step 5: Solve for x
    x = 168,084.70/357.84
  6. Step 6: Final answer
    x = 469.72

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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.