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Finding the Fourth Proportional to 591.42, 815.32 and 425.33

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Solution

The fourth proportional to 591.42, 815.32 and 425.33 is: 586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 815.32 = 425.33 : x
  2. Step 2: Convert to fraction form
    591.42/815.32 = 425.33/x
  3. Step 3: Cross multiply
    591.42x = 815.32 × 425.33
  4. Step 4: Simplify right side
    591.42x = 346,780.06
  5. Step 5: Solve for x
    x = 346,780.06/591.42
  6. Step 6: Final answer
    x = 586.35

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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.