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Finding the Fourth Proportional to 584.51, 806.57 and 332.45

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Solution

The fourth proportional to 584.51, 806.57 and 332.45 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.51 : 806.57 = 332.45 : x
  2. Step 2: Convert to fraction form
    584.51/806.57 = 332.45/x
  3. Step 3: Cross multiply
    584.51x = 806.57 × 332.45
  4. Step 4: Simplify right side
    584.51x = 268,138.50
  5. Step 5: Solve for x
    x = 268,138.50/584.51
  6. Step 6: Final answer
    x = 458.74

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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.