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Finding the Fourth Proportional to 549.19, 823.52 and 457.93

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Solution

The fourth proportional to 549.19, 823.52 and 457.93 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.19 : 823.52 = 457.93 : x
  2. Step 2: Convert to fraction form
    549.19/823.52 = 457.93/x
  3. Step 3: Cross multiply
    549.19x = 823.52 × 457.93
  4. Step 4: Simplify right side
    549.19x = 377,114.51
  5. Step 5: Solve for x
    x = 377,114.51/549.19
  6. Step 6: Final answer
    x = 686.67

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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.