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Finding the Fourth Proportional to 540.64, 746.07 and 307.75

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Solution

The fourth proportional to 540.64, 746.07 and 307.75 is: 424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.64 : 746.07 = 307.75 : x
  2. Step 2: Convert to fraction form
    540.64/746.07 = 307.75/x
  3. Step 3: Cross multiply
    540.64x = 746.07 × 307.75
  4. Step 4: Simplify right side
    540.64x = 229,603.04
  5. Step 5: Solve for x
    x = 229,603.04/540.64
  6. Step 6: Final answer
    x = 424.69

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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.