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Finding the Fourth Proportional to 549.71, 823.64 and 452.51

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Solution

The fourth proportional to 549.71, 823.64 and 452.51 is: 678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.71 : 823.64 = 452.51 : x
  2. Step 2: Convert to fraction form
    549.71/823.64 = 452.51/x
  3. Step 3: Cross multiply
    549.71x = 823.64 × 452.51
  4. Step 4: Simplify right side
    549.71x = 372,702.35
  5. Step 5: Solve for x
    x = 372,702.35/549.71
  6. Step 6: Final answer
    x = 678.00

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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.