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Finding the Fourth Proportional to 652.15, 900.12 and 431.11

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Solution

The fourth proportional to 652.15, 900.12 and 431.11 is: 595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.15 : 900.12 = 431.11 : x
  2. Step 2: Convert to fraction form
    652.15/900.12 = 431.11/x
  3. Step 3: Cross multiply
    652.15x = 900.12 × 431.11
  4. Step 4: Simplify right side
    652.15x = 388,050.73
  5. Step 5: Solve for x
    x = 388,050.73/652.15
  6. Step 6: Final answer
    x = 595.03

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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.