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Finding the Fourth Proportional to 590.64, 886.14 and 346.65

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Solution

The fourth proportional to 590.64, 886.14 and 346.65 is: 520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.64 : 886.14 = 346.65 : x
  2. Step 2: Convert to fraction form
    590.64/886.14 = 346.65/x
  3. Step 3: Cross multiply
    590.64x = 886.14 × 346.65
  4. Step 4: Simplify right side
    590.64x = 307,180.43
  5. Step 5: Solve for x
    x = 307,180.43/590.64
  6. Step 6: Final answer
    x = 520.08

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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.