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Finding the Fourth Proportional to 583.69, 805.41 and 347.65

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Solution

The fourth proportional to 583.69, 805.41 and 347.65 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.69 : 805.41 = 347.65 : x
  2. Step 2: Convert to fraction form
    583.69/805.41 = 347.65/x
  3. Step 3: Cross multiply
    583.69x = 805.41 × 347.65
  4. Step 4: Simplify right side
    583.69x = 280,000.79
  5. Step 5: Solve for x
    x = 280,000.79/583.69
  6. Step 6: Final answer
    x = 479.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.