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Finding the Fourth Proportional to 740.98, 1,111.90 and 330.10

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Solution

The fourth proportional to 740.98, 1,111.90 and 330.10 is: 495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.98 : 1,111.90 = 330.10 : x
  2. Step 2: Convert to fraction form
    740.98/1,111.90 = 330.10/x
  3. Step 3: Cross multiply
    740.98x = 1,111.90 × 330.10
  4. Step 4: Simplify right side
    740.98x = 367,038.19
  5. Step 5: Solve for x
    x = 367,038.19/740.98
  6. Step 6: Final answer
    x = 495.34

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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.