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Finding the Fourth Proportional to 584.42, 805.64 and 387.59

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Solution

The fourth proportional to 584.42, 805.64 and 387.59 is: 534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.42 : 805.64 = 387.59 : x
  2. Step 2: Convert to fraction form
    584.42/805.64 = 387.59/x
  3. Step 3: Cross multiply
    584.42x = 805.64 × 387.59
  4. Step 4: Simplify right side
    584.42x = 312,252.04
  5. Step 5: Solve for x
    x = 312,252.04/584.42
  6. Step 6: Final answer
    x = 534.30

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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.