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Finding the Fourth Proportional to 540.77, 746.33 and 307.91

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Solution

The fourth proportional to 540.77, 746.33 and 307.91 is: 424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.77 : 746.33 = 307.91 : x
  2. Step 2: Convert to fraction form
    540.77/746.33 = 307.91/x
  3. Step 3: Cross multiply
    540.77x = 746.33 × 307.91
  4. Step 4: Simplify right side
    540.77x = 229,802.47
  5. Step 5: Solve for x
    x = 229,802.47/540.77
  6. Step 6: Final answer
    x = 424.95

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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.