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Finding the Fourth Proportional to 497.07, 745.52 and 290.97

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Solution

The fourth proportional to 497.07, 745.52 and 290.97 is: 436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 745.52 = 290.97 : x
  2. Step 2: Convert to fraction form
    497.07/745.52 = 290.97/x
  3. Step 3: Cross multiply
    497.07x = 745.52 × 290.97
  4. Step 4: Simplify right side
    497.07x = 216,922.50
  5. Step 5: Solve for x
    x = 216,922.50/497.07
  6. Step 6: Final answer
    x = 436.40

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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.