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Finding the Fourth Proportional to 652.43, 900.35 and 357.70

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Solution

The fourth proportional to 652.43, 900.35 and 357.70 is: 493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.43 : 900.35 = 357.70 : x
  2. Step 2: Convert to fraction form
    652.43/900.35 = 357.70/x
  3. Step 3: Cross multiply
    652.43x = 900.35 × 357.70
  4. Step 4: Simplify right side
    652.43x = 322,053.84
  5. Step 5: Solve for x
    x = 322,053.84/652.43
  6. Step 6: Final answer
    x = 493.62

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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.