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Finding the Fourth Proportional to 566.65, 848.15 and 292.37

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Solution

The fourth proportional to 566.65, 848.15 and 292.37 is: 437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.65 : 848.15 = 292.37 : x
  2. Step 2: Convert to fraction form
    566.65/848.15 = 292.37/x
  3. Step 3: Cross multiply
    566.65x = 848.15 × 292.37
  4. Step 4: Simplify right side
    566.65x = 247,969.01
  5. Step 5: Solve for x
    x = 247,969.01/566.65
  6. Step 6: Final answer
    x = 437.61

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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.