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Finding the Fourth Proportional to 652.47, 900.34 and 357.74

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Solution

The fourth proportional to 652.47, 900.34 and 357.74 is: 493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.47 : 900.34 = 357.74 : x
  2. Step 2: Convert to fraction form
    652.47/900.34 = 357.74/x
  3. Step 3: Cross multiply
    652.47x = 900.34 × 357.74
  4. Step 4: Simplify right side
    652.47x = 322,082.24
  5. Step 5: Solve for x
    x = 322,082.24/652.47
  6. Step 6: Final answer
    x = 493.64

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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.