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Finding the Fourth Proportional to 549.95, 824.20 and 421.07

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Solution

The fourth proportional to 549.95, 824.20 and 421.07 is: 631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.95 : 824.20 = 421.07 : x
  2. Step 2: Convert to fraction form
    549.95/824.20 = 421.07/x
  3. Step 3: Cross multiply
    549.95x = 824.20 × 421.07
  4. Step 4: Simplify right side
    549.95x = 347,045.89
  5. Step 5: Solve for x
    x = 347,045.89/549.95
  6. Step 6: Final answer
    x = 631.05

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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.