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Finding the Fourth Proportional to 540.40, 745.76 and 307.52

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Solution

The fourth proportional to 540.40, 745.76 and 307.52 is: 424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.40 : 745.76 = 307.52 : x
  2. Step 2: Convert to fraction form
    540.40/745.76 = 307.52/x
  3. Step 3: Cross multiply
    540.40x = 745.76 × 307.52
  4. Step 4: Simplify right side
    540.40x = 229,336.12
  5. Step 5: Solve for x
    x = 229,336.12/540.40
  6. Step 6: Final answer
    x = 424.38

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1.5x scale

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.