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Finding the Fourth Proportional to 554.15, 764.82 and 460.77

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Solution

The fourth proportional to 554.15, 764.82 and 460.77 is: 635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.15 : 764.82 = 460.77 : x
  2. Step 2: Convert to fraction form
    554.15/764.82 = 460.77/x
  3. Step 3: Cross multiply
    554.15x = 764.82 × 460.77
  4. Step 4: Simplify right side
    554.15x = 352,406.11
  5. Step 5: Solve for x
    x = 352,406.11/554.15
  6. Step 6: Final answer
    x = 635.94

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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.