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Finding the Fourth Proportional to 565.50, 780.40 and 316.84

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Solution

The fourth proportional to 565.50, 780.40 and 316.84 is: 437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.50 : 780.40 = 316.84 : x
  2. Step 2: Convert to fraction form
    565.50/780.40 = 316.84/x
  3. Step 3: Cross multiply
    565.50x = 780.40 × 316.84
  4. Step 4: Simplify right side
    565.50x = 247,261.94
  5. Step 5: Solve for x
    x = 247,261.94/565.50
  6. Step 6: Final answer
    x = 437.24

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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.