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Finding the Fourth Proportional to 306.48, 456.99 and 302.70

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Solution

The fourth proportional to 306.48, 456.99 and 302.70 is: 451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 456.99 = 302.70 : x
  2. Step 2: Convert to fraction form
    306.48/456.99 = 302.70/x
  3. Step 3: Cross multiply
    306.48x = 456.99 × 302.70
  4. Step 4: Simplify right side
    306.48x = 138,330.87
  5. Step 5: Solve for x
    x = 138,330.87/306.48
  6. Step 6: Final answer
    x = 451.35

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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.