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Finding the Fourth Proportional to 554.26, 765.17 and 429.64

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Solution

The fourth proportional to 554.26, 765.17 and 429.64 is: 593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.26 : 765.17 = 429.64 : x
  2. Step 2: Convert to fraction form
    554.26/765.17 = 429.64/x
  3. Step 3: Cross multiply
    554.26x = 765.17 × 429.64
  4. Step 4: Simplify right side
    554.26x = 328,748.71
  5. Step 5: Solve for x
    x = 328,748.71/554.26
  6. Step 6: Final answer
    x = 593.13

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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.