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Finding the Fourth Proportional to 554.19, 763.92 and 414.11

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Solution

The fourth proportional to 554.19, 763.92 and 414.11 is: 570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.19 : 763.92 = 414.11 : x
  2. Step 2: Convert to fraction form
    554.19/763.92 = 414.11/x
  3. Step 3: Cross multiply
    554.19x = 763.92 × 414.11
  4. Step 4: Simplify right side
    554.19x = 316,343.09
  5. Step 5: Solve for x
    x = 316,343.09/554.19
  6. Step 6: Final answer
    x = 570.82

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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.