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Finding the Fourth Proportional to 595.08, 821.10 and 398.28

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Solution

The fourth proportional to 595.08, 821.10 and 398.28 is: 549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.08 : 821.10 = 398.28 : x
  2. Step 2: Convert to fraction form
    595.08/821.10 = 398.28/x
  3. Step 3: Cross multiply
    595.08x = 821.10 × 398.28
  4. Step 4: Simplify right side
    595.08x = 327,027.71
  5. Step 5: Solve for x
    x = 327,027.71/595.08
  6. Step 6: Final answer
    x = 549.55

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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.