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Finding the Fourth Proportional to 584.48, 805.74 and 514.82

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Solution

The fourth proportional to 584.48, 805.74 and 514.82 is: 709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 805.74 = 514.82 : x
  2. Step 2: Convert to fraction form
    584.48/805.74 = 514.82/x
  3. Step 3: Cross multiply
    584.48x = 805.74 × 514.82
  4. Step 4: Simplify right side
    584.48x = 414,811.07
  5. Step 5: Solve for x
    x = 414,811.07/584.48
  6. Step 6: Final answer
    x = 709.71

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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.