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Finding the Fourth Proportional to 540.32, 745.68 and 307.46

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Solution

The fourth proportional to 540.32, 745.68 and 307.46 is: 424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.32 : 745.68 = 307.46 : x
  2. Step 2: Convert to fraction form
    540.32/745.68 = 307.46/x
  3. Step 3: Cross multiply
    540.32x = 745.68 × 307.46
  4. Step 4: Simplify right side
    540.32x = 229,266.77
  5. Step 5: Solve for x
    x = 229,266.77/540.32
  6. Step 6: Final answer
    x = 424.32

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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.