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Finding the Fourth Proportional to 540.02, 745.53 and 458.02

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Solution

The fourth proportional to 540.02, 745.53 and 458.02 is: 632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.02 : 745.53 = 458.02 : x
  2. Step 2: Convert to fraction form
    540.02/745.53 = 458.02/x
  3. Step 3: Cross multiply
    540.02x = 745.53 × 458.02
  4. Step 4: Simplify right side
    540.02x = 341,463.92
  5. Step 5: Solve for x
    x = 341,463.92/540.02
  6. Step 6: Final answer
    x = 632.32

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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.