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Finding the Fourth Proportional to 653.29, 901.48 and 358.55

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Solution

The fourth proportional to 653.29, 901.48 and 358.55 is: 494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.29 : 901.48 = 358.55 : x
  2. Step 2: Convert to fraction form
    653.29/901.48 = 358.55/x
  3. Step 3: Cross multiply
    653.29x = 901.48 × 358.55
  4. Step 4: Simplify right side
    653.29x = 323,225.65
  5. Step 5: Solve for x
    x = 323,225.65/653.29
  6. Step 6: Final answer
    x = 494.77

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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.