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Finding the Fourth Proportional to 653.25, 979.46 and 282.86

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Solution

The fourth proportional to 653.25, 979.46 and 282.86 is: 424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.25 : 979.46 = 282.86 : x
  2. Step 2: Convert to fraction form
    653.25/979.46 = 282.86/x
  3. Step 3: Cross multiply
    653.25x = 979.46 × 282.86
  4. Step 4: Simplify right side
    653.25x = 277,043.74
  5. Step 5: Solve for x
    x = 277,043.74/653.25
  6. Step 6: Final answer
    x = 424.10

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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.