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Finding the Fourth Proportional to 595.50, 822.03 and 389.10

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Solution

The fourth proportional to 595.50, 822.03 and 389.10 is: 537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 822.03 = 389.10 : x
  2. Step 2: Convert to fraction form
    595.50/822.03 = 389.10/x
  3. Step 3: Cross multiply
    595.50x = 822.03 × 389.10
  4. Step 4: Simplify right side
    595.50x = 319,851.87
  5. Step 5: Solve for x
    x = 319,851.87/595.50
  6. Step 6: Final answer
    x = 537.11

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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.