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Finding the Fourth Proportional to 554.61, 765.35 and 305.93

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Solution

The fourth proportional to 554.61, 765.35 and 305.93 is: 422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.61 : 765.35 = 305.93 : x
  2. Step 2: Convert to fraction form
    554.61/765.35 = 305.93/x
  3. Step 3: Cross multiply
    554.61x = 765.35 × 305.93
  4. Step 4: Simplify right side
    554.61x = 234,138.17
  5. Step 5: Solve for x
    x = 234,138.17/554.61
  6. Step 6: Final answer
    x = 422.17

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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.