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Finding the Fourth Proportional to 306.61, 457.68 and 284.08

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Solution

The fourth proportional to 306.61, 457.68 and 284.08 is: 424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.61 : 457.68 = 284.08 : x
  2. Step 2: Convert to fraction form
    306.61/457.68 = 284.08/x
  3. Step 3: Cross multiply
    306.61x = 457.68 × 284.08
  4. Step 4: Simplify right side
    306.61x = 130,017.73
  5. Step 5: Solve for x
    x = 130,017.73/306.61
  6. Step 6: Final answer
    x = 424.05

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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.