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Finding the Fourth Proportional to 565.41, 780.33 and 316.74

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Solution

The fourth proportional to 565.41, 780.33 and 316.74 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.41 : 780.33 = 316.74 : x
  2. Step 2: Convert to fraction form
    565.41/780.33 = 316.74/x
  3. Step 3: Cross multiply
    565.41x = 780.33 × 316.74
  4. Step 4: Simplify right side
    565.41x = 247,165.84
  5. Step 5: Solve for x
    x = 247,165.84/565.41
  6. Step 6: Final answer
    x = 437.14

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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.