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Finding the Fourth Proportional to 565.24, 780.04 and 313.20

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Solution

The fourth proportional to 565.24, 780.04 and 313.20 is: 432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.24 : 780.04 = 313.20 : x
  2. Step 2: Convert to fraction form
    565.24/780.04 = 313.20/x
  3. Step 3: Cross multiply
    565.24x = 780.04 × 313.20
  4. Step 4: Simplify right side
    565.24x = 244,308.53
  5. Step 5: Solve for x
    x = 244,308.53/565.24
  6. Step 6: Final answer
    x = 432.22

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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.