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Finding the Fourth Proportional to 564.96, 848.40 and 372.48

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Solution

The fourth proportional to 564.96, 848.40 and 372.48 is: 559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 848.40 = 372.48 : x
  2. Step 2: Convert to fraction form
    564.96/848.40 = 372.48/x
  3. Step 3: Cross multiply
    564.96x = 848.40 × 372.48
  4. Step 4: Simplify right side
    564.96x = 316,012.03
  5. Step 5: Solve for x
    x = 316,012.03/564.96
  6. Step 6: Final answer
    x = 559.35

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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.