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Finding the Fourth Proportional to 576.84, 795.20 and 429.42

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Solution

The fourth proportional to 576.84, 795.20 and 429.42 is: 591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 795.20 = 429.42 : x
  2. Step 2: Convert to fraction form
    576.84/795.20 = 429.42/x
  3. Step 3: Cross multiply
    576.84x = 795.20 × 429.42
  4. Step 4: Simplify right side
    576.84x = 341,474.78
  5. Step 5: Solve for x
    x = 341,474.78/576.84
  6. Step 6: Final answer
    x = 591.97

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1.5x scale

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.