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Finding the Fourth Proportional to 549.60, 823.65 and 289.07

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Solution

The fourth proportional to 549.60, 823.65 and 289.07 is: 433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 823.65 = 289.07 : x
  2. Step 2: Convert to fraction form
    549.60/823.65 = 289.07/x
  3. Step 3: Cross multiply
    549.60x = 823.65 × 289.07
  4. Step 4: Simplify right side
    549.60x = 238,088.39
  5. Step 5: Solve for x
    x = 238,088.39/549.60
  6. Step 6: Final answer
    x = 433.20

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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.