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Finding the Fourth Proportional to 740.30, 1,109.79 and 307.76

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Solution

The fourth proportional to 740.30, 1,109.79 and 307.76 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.30 : 1,109.79 = 307.76 : x
  2. Step 2: Convert to fraction form
    740.30/1,109.79 = 307.76/x
  3. Step 3: Cross multiply
    740.30x = 1,109.79 × 307.76
  4. Step 4: Simplify right side
    740.30x = 341,543.42
  5. Step 5: Solve for x
    x = 341,543.42/740.30
  6. Step 6: Final answer
    x = 461.36

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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.