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Finding the Fourth Proportional to 549.30, 823.74 and 302.70

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Solution

The fourth proportional to 549.30, 823.74 and 302.70 is: 453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.30 : 823.74 = 302.70 : x
  2. Step 2: Convert to fraction form
    549.30/823.74 = 302.70/x
  3. Step 3: Cross multiply
    549.30x = 823.74 × 302.70
  4. Step 4: Simplify right side
    549.30x = 249,346.10
  5. Step 5: Solve for x
    x = 249,346.10/549.30
  6. Step 6: Final answer
    x = 453.93

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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.