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Finding the Fourth Proportional to 576.06, 795.16 and 429.18

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Solution

The fourth proportional to 576.06, 795.16 and 429.18 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 795.16 = 429.18 : x
  2. Step 2: Convert to fraction form
    576.06/795.16 = 429.18/x
  3. Step 3: Cross multiply
    576.06x = 795.16 × 429.18
  4. Step 4: Simplify right side
    576.06x = 341,266.77
  5. Step 5: Solve for x
    x = 341,266.77/576.06
  6. Step 6: Final answer
    x = 592.42

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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.