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Finding the Fourth Proportional to 595.50, 821.49 and 448.34

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Solution

The fourth proportional to 595.50, 821.49 and 448.34 is: 618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 821.49 = 448.34 : x
  2. Step 2: Convert to fraction form
    595.50/821.49 = 448.34/x
  3. Step 3: Cross multiply
    595.50x = 821.49 × 448.34
  4. Step 4: Simplify right side
    595.50x = 368,303.56
  5. Step 5: Solve for x
    x = 368,303.56/595.50
  6. Step 6: Final answer
    x = 618.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.