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Finding the Fourth Proportional to 554.76, 765.96 and 407.60

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Solution

The fourth proportional to 554.76, 765.96 and 407.60 is: 562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.76 : 765.96 = 407.60 : x
  2. Step 2: Convert to fraction form
    554.76/765.96 = 407.60/x
  3. Step 3: Cross multiply
    554.76x = 765.96 × 407.60
  4. Step 4: Simplify right side
    554.76x = 312,205.30
  5. Step 5: Solve for x
    x = 312,205.30/554.76
  6. Step 6: Final answer
    x = 562.78

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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.