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Finding the Fourth Proportional to 565.06, 848.05 and 383.73

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Solution

The fourth proportional to 565.06, 848.05 and 383.73 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.06 : 848.05 = 383.73 : x
  2. Step 2: Convert to fraction form
    565.06/848.05 = 383.73/x
  3. Step 3: Cross multiply
    565.06x = 848.05 × 383.73
  4. Step 4: Simplify right side
    565.06x = 325,422.23
  5. Step 5: Solve for x
    x = 325,422.23/565.06
  6. Step 6: Final answer
    x = 575.91

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Why These Related Problems?

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