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Finding the Fourth Proportional to 565.31, 846.51 and 473.78

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Solution

The fourth proportional to 565.31, 846.51 and 473.78 is: 709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 846.51 = 473.78 : x
  2. Step 2: Convert to fraction form
    565.31/846.51 = 473.78/x
  3. Step 3: Cross multiply
    565.31x = 846.51 × 473.78
  4. Step 4: Simplify right side
    565.31x = 401,059.51
  5. Step 5: Solve for x
    x = 401,059.51/565.31
  6. Step 6: Final answer
    x = 709.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.