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Finding the Fourth Proportional to 653.10, 980.04 and 288.18

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Solution

The fourth proportional to 653.10, 980.04 and 288.18 is: 432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.10 : 980.04 = 288.18 : x
  2. Step 2: Convert to fraction form
    653.10/980.04 = 288.18/x
  3. Step 3: Cross multiply
    653.10x = 980.04 × 288.18
  4. Step 4: Simplify right side
    653.10x = 282,427.93
  5. Step 5: Solve for x
    x = 282,427.93/653.10
  6. Step 6: Final answer
    x = 432.44

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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.