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Finding the Fourth Proportional to 653.47, 901.80 and 358.74

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Solution

The fourth proportional to 653.47, 901.80 and 358.74 is: 495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.47 : 901.80 = 358.74 : x
  2. Step 2: Convert to fraction form
    653.47/901.80 = 358.74/x
  3. Step 3: Cross multiply
    653.47x = 901.80 × 358.74
  4. Step 4: Simplify right side
    653.47x = 323,511.73
  5. Step 5: Solve for x
    x = 323,511.73/653.47
  6. Step 6: Final answer
    x = 495.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.