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Finding the Fourth Proportional to 551.16, 759.74 and 432.86

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Solution

The fourth proportional to 551.16, 759.74 and 432.86 is: 596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.16 : 759.74 = 432.86 : x
  2. Step 2: Convert to fraction form
    551.16/759.74 = 432.86/x
  3. Step 3: Cross multiply
    551.16x = 759.74 × 432.86
  4. Step 4: Simplify right side
    551.16x = 328,855.09
  5. Step 5: Solve for x
    x = 328,855.09/551.16
  6. Step 6: Final answer
    x = 596.66

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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.