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Finding the Fourth Proportional to 652.91, 900.74 and 390.92

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Solution

The fourth proportional to 652.91, 900.74 and 390.92 is: 539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.91 : 900.74 = 390.92 : x
  2. Step 2: Convert to fraction form
    652.91/900.74 = 390.92/x
  3. Step 3: Cross multiply
    652.91x = 900.74 × 390.92
  4. Step 4: Simplify right side
    652.91x = 352,113.75
  5. Step 5: Solve for x
    x = 352,113.75/652.91
  6. Step 6: Final answer
    x = 539.30

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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.