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Finding the Fourth Proportional to 595.49, 891.74 and 361.10

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Solution

The fourth proportional to 595.49, 891.74 and 361.10 is: 540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.49 : 891.74 = 361.10 : x
  2. Step 2: Convert to fraction form
    595.49/891.74 = 361.10/x
  3. Step 3: Cross multiply
    595.49x = 891.74 × 361.10
  4. Step 4: Simplify right side
    595.49x = 322,010.45
  5. Step 5: Solve for x
    x = 322,010.45/595.49
  6. Step 6: Final answer
    x = 540.75

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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.