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Finding the Fourth Proportional to 622.30, 928.88 and 549.40

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Solution

The fourth proportional to 622.30, 928.88 and 549.40 is: 820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.30 : 928.88 = 549.40 : x
  2. Step 2: Convert to fraction form
    622.30/928.88 = 549.40/x
  3. Step 3: Cross multiply
    622.30x = 928.88 × 549.40
  4. Step 4: Simplify right side
    622.30x = 510,326.67
  5. Step 5: Solve for x
    x = 510,326.67/622.30
  6. Step 6: Final answer
    x = 820.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.