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Finding the Fourth Proportional to 590.02, 886.95 and 546.89

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Solution

The fourth proportional to 590.02, 886.95 and 546.89 is: 822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 886.95 = 546.89 : x
  2. Step 2: Convert to fraction form
    590.02/886.95 = 546.89/x
  3. Step 3: Cross multiply
    590.02x = 886.95 × 546.89
  4. Step 4: Simplify right side
    590.02x = 485,059.65
  5. Step 5: Solve for x
    x = 485,059.65/590.02
  6. Step 6: Final answer
    x = 822.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.