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Finding the Fourth Proportional to 595.33, 821.82 and 448.00

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Solution

The fourth proportional to 595.33, 821.82 and 448.00 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.33 : 821.82 = 448.00 : x
  2. Step 2: Convert to fraction form
    595.33/821.82 = 448.00/x
  3. Step 3: Cross multiply
    595.33x = 821.82 × 448.00
  4. Step 4: Simplify right side
    595.33x = 368,176.29
  5. Step 5: Solve for x
    x = 368,176.29/595.33
  6. Step 6: Final answer
    x = 618.44

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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.