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Finding the Fourth Proportional to 652.25, 900.14 and 357.53

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Solution

The fourth proportional to 652.25, 900.14 and 357.53 is: 493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.25 : 900.14 = 357.53 : x
  2. Step 2: Convert to fraction form
    652.25/900.14 = 357.53/x
  3. Step 3: Cross multiply
    652.25x = 900.14 × 357.53
  4. Step 4: Simplify right side
    652.25x = 321,827.05
  5. Step 5: Solve for x
    x = 321,827.05/652.25
  6. Step 6: Final answer
    x = 493.41

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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.