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Finding the Fourth Proportional to 652.75, 900.78 and 358.03

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Solution

The fourth proportional to 652.75, 900.78 and 358.03 is: 494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.75 : 900.78 = 358.03 : x
  2. Step 2: Convert to fraction form
    652.75/900.78 = 358.03/x
  3. Step 3: Cross multiply
    652.75x = 900.78 × 358.03
  4. Step 4: Simplify right side
    652.75x = 322,506.26
  5. Step 5: Solve for x
    x = 322,506.26/652.75
  6. Step 6: Final answer
    x = 494.07

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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.