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Finding the Fourth Proportional to 565.72, 780.62 and 317.01

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Solution

The fourth proportional to 565.72, 780.62 and 317.01 is: 437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.72 : 780.62 = 317.01 : x
  2. Step 2: Convert to fraction form
    565.72/780.62 = 317.01/x
  3. Step 3: Cross multiply
    565.72x = 780.62 × 317.01
  4. Step 4: Simplify right side
    565.72x = 247,464.35
  5. Step 5: Solve for x
    x = 247,464.35/565.72
  6. Step 6: Final answer
    x = 437.43

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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.