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Finding the Fourth Proportional to 565.65, 847.80 and 334.26

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Solution

The fourth proportional to 565.65, 847.80 and 334.26 is: 500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.65 : 847.80 = 334.26 : x
  2. Step 2: Convert to fraction form
    565.65/847.80 = 334.26/x
  3. Step 3: Cross multiply
    565.65x = 847.80 × 334.26
  4. Step 4: Simplify right side
    565.65x = 283,385.63
  5. Step 5: Solve for x
    x = 283,385.63/565.65
  6. Step 6: Final answer
    x = 500.99

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