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Finding the Fourth Proportional to 900.12, 1,349.34 and 322.86

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Solution

The fourth proportional to 900.12, 1,349.34 and 322.86 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.12 : 1,349.34 = 322.86 : x
  2. Step 2: Convert to fraction form
    900.12/1,349.34 = 322.86/x
  3. Step 3: Cross multiply
    900.12x = 1,349.34 × 322.86
  4. Step 4: Simplify right side
    900.12x = 435,647.91
  5. Step 5: Solve for x
    x = 435,647.91/900.12
  6. Step 6: Final answer
    x = 483.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.