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Finding the Fourth Proportional to 314.60, 469.03 and 306.61

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Solution

The fourth proportional to 314.60, 469.03 and 306.61 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 469.03 = 306.61 : x
  2. Step 2: Convert to fraction form
    314.60/469.03 = 306.61/x
  3. Step 3: Cross multiply
    314.60x = 469.03 × 306.61
  4. Step 4: Simplify right side
    314.60x = 143,811.02
  5. Step 5: Solve for x
    x = 143,811.02/314.60
  6. Step 6: Final answer
    x = 457.12

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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.