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Finding the Fourth Proportional to 565.80, 780.96 and 419.16

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Solution

The fourth proportional to 565.80, 780.96 and 419.16 is: 578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.80 : 780.96 = 419.16 : x
  2. Step 2: Convert to fraction form
    565.80/780.96 = 419.16/x
  3. Step 3: Cross multiply
    565.80x = 780.96 × 419.16
  4. Step 4: Simplify right side
    565.80x = 327,347.19
  5. Step 5: Solve for x
    x = 327,347.19/565.80
  6. Step 6: Final answer
    x = 578.56

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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.