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Finding the Fourth Proportional to 319.60, 476.84 and 284.95

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Solution

The fourth proportional to 319.60, 476.84 and 284.95 is: 425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.60 : 476.84 = 284.95 : x
  2. Step 2: Convert to fraction form
    319.60/476.84 = 284.95/x
  3. Step 3: Cross multiply
    319.60x = 476.84 × 284.95
  4. Step 4: Simplify right side
    319.60x = 135,875.56
  5. Step 5: Solve for x
    x = 135,875.56/319.60
  6. Step 6: Final answer
    x = 425.14

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Why These Related Problems?

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