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Finding the Fourth Proportional to 590.93, 881.62 and 546.83

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Solution

The fourth proportional to 590.93, 881.62 and 546.83 is: 815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.93 : 881.62 = 546.83 : x
  2. Step 2: Convert to fraction form
    590.93/881.62 = 546.83/x
  3. Step 3: Cross multiply
    590.93x = 881.62 × 546.83
  4. Step 4: Simplify right side
    590.93x = 482,091.86
  5. Step 5: Solve for x
    x = 482,091.86/590.93
  6. Step 6: Final answer
    x = 815.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.