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Finding the Fourth Proportional to 469.40, 647.76 and 272.95

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Solution

The fourth proportional to 469.40, 647.76 and 272.95 is: 376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.40 : 647.76 = 272.95 : x
  2. Step 2: Convert to fraction form
    469.40/647.76 = 272.95/x
  3. Step 3: Cross multiply
    469.40x = 647.76 × 272.95
  4. Step 4: Simplify right side
    469.40x = 176,802.85
  5. Step 5: Solve for x
    x = 176,802.85/469.40
  6. Step 6: Final answer
    x = 376.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.