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Finding the Fourth Proportional to 456.09, 684.35 and 282.89

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Solution

The fourth proportional to 456.09, 684.35 and 282.89 is: 424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.09 : 684.35 = 282.89 : x
  2. Step 2: Convert to fraction form
    456.09/684.35 = 282.89/x
  3. Step 3: Cross multiply
    456.09x = 684.35 × 282.89
  4. Step 4: Simplify right side
    456.09x = 193,595.77
  5. Step 5: Solve for x
    x = 193,595.77/456.09
  6. Step 6: Final answer
    x = 424.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.