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Finding the Fourth Proportional to 565.46, 848.03 and 257.15

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Solution

The fourth proportional to 565.46, 848.03 and 257.15 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 848.03 = 257.15 : x
  2. Step 2: Convert to fraction form
    565.46/848.03 = 257.15/x
  3. Step 3: Cross multiply
    565.46x = 848.03 × 257.15
  4. Step 4: Simplify right side
    565.46x = 218,070.91
  5. Step 5: Solve for x
    x = 218,070.91/565.46
  6. Step 6: Final answer
    x = 385.65

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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.