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Finding the Fourth Proportional to 591.29, 816.65 and 442.45

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Solution

The fourth proportional to 591.29, 816.65 and 442.45 is: 611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.29 : 816.65 = 442.45 : x
  2. Step 2: Convert to fraction form
    591.29/816.65 = 442.45/x
  3. Step 3: Cross multiply
    591.29x = 816.65 × 442.45
  4. Step 4: Simplify right side
    591.29x = 361,326.79
  5. Step 5: Solve for x
    x = 361,326.79/591.29
  6. Step 6: Final answer
    x = 611.08

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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.