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Finding the Fourth Proportional to 584.41, 805.71 and 501.16

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Solution

The fourth proportional to 584.41, 805.71 and 501.16 is: 690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.41 : 805.71 = 501.16 : x
  2. Step 2: Convert to fraction form
    584.41/805.71 = 501.16/x
  3. Step 3: Cross multiply
    584.41x = 805.71 × 501.16
  4. Step 4: Simplify right side
    584.41x = 403,789.62
  5. Step 5: Solve for x
    x = 403,789.62/584.41
  6. Step 6: Final answer
    x = 690.94

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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.