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Finding the Fourth Proportional to 653.56, 901.95 and 358.84

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Solution

The fourth proportional to 653.56, 901.95 and 358.84 is: 495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.56 : 901.95 = 358.84 : x
  2. Step 2: Convert to fraction form
    653.56/901.95 = 358.84/x
  3. Step 3: Cross multiply
    653.56x = 901.95 × 358.84
  4. Step 4: Simplify right side
    653.56x = 323,655.74
  5. Step 5: Solve for x
    x = 323,655.74/653.56
  6. Step 6: Final answer
    x = 495.22

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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.