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Finding the Fourth Proportional to 899.64, 1,349.70 and 322.68

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Solution

The fourth proportional to 899.64, 1,349.70 and 322.68 is: 484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.64 : 1,349.70 = 322.68 : x
  2. Step 2: Convert to fraction form
    899.64/1,349.70 = 322.68/x
  3. Step 3: Cross multiply
    899.64x = 1,349.70 × 322.68
  4. Step 4: Simplify right side
    899.64x = 435,521.20
  5. Step 5: Solve for x
    x = 435,521.20/899.64
  6. Step 6: Final answer
    x = 484.11

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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.