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Finding the Fourth Proportional to 565.12, 842.66 and 564.08

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Solution

The fourth proportional to 565.12, 842.66 and 564.08 is: 841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 842.66 = 564.08 : x
  2. Step 2: Convert to fraction form
    565.12/842.66 = 564.08/x
  3. Step 3: Cross multiply
    565.12x = 842.66 × 564.08
  4. Step 4: Simplify right side
    565.12x = 475,327.65
  5. Step 5: Solve for x
    x = 475,327.65/565.12
  6. Step 6: Final answer
    x = 841.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.