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Finding the Fourth Proportional to 899.04, 1,348.65 and 321.78

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Solution

The fourth proportional to 899.04, 1,348.65 and 321.78 is: 482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.04 : 1,348.65 = 321.78 : x
  2. Step 2: Convert to fraction form
    899.04/1,348.65 = 321.78/x
  3. Step 3: Cross multiply
    899.04x = 1,348.65 × 321.78
  4. Step 4: Simplify right side
    899.04x = 433,968.60
  5. Step 5: Solve for x
    x = 433,968.60/899.04
  6. Step 6: Final answer
    x = 482.70

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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.