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Finding the Fourth Proportional to 497.32, 745.71 and 456.46

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Solution

The fourth proportional to 497.32, 745.71 and 456.46 is: 684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.32 : 745.71 = 456.46 : x
  2. Step 2: Convert to fraction form
    497.32/745.71 = 456.46/x
  3. Step 3: Cross multiply
    497.32x = 745.71 × 456.46
  4. Step 4: Simplify right side
    497.32x = 340,386.79
  5. Step 5: Solve for x
    x = 340,386.79/497.32
  6. Step 6: Final answer
    x = 684.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.