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Finding the Fourth Proportional to 653.36, 979.84 and 288.46

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Solution

The fourth proportional to 653.36, 979.84 and 288.46 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 979.84 = 288.46 : x
  2. Step 2: Convert to fraction form
    653.36/979.84 = 288.46/x
  3. Step 3: Cross multiply
    653.36x = 979.84 × 288.46
  4. Step 4: Simplify right side
    653.36x = 282,638.30
  5. Step 5: Solve for x
    x = 282,638.30/653.36
  6. Step 6: Final answer
    x = 432.59

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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.