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Finding the Fourth Proportional to 565.90, 780.92 and 313.84

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Solution

The fourth proportional to 565.90, 780.92 and 313.84 is: 433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 780.92 = 313.84 : x
  2. Step 2: Convert to fraction form
    565.90/780.92 = 313.84/x
  3. Step 3: Cross multiply
    565.90x = 780.92 × 313.84
  4. Step 4: Simplify right side
    565.90x = 245,083.93
  5. Step 5: Solve for x
    x = 245,083.93/565.90
  6. Step 6: Final answer
    x = 433.09

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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.