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Finding the Fourth Proportional to 497.14, 745.72 and 172.51

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Solution

The fourth proportional to 497.14, 745.72 and 172.51 is: 258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.14 : 745.72 = 172.51 : x
  2. Step 2: Convert to fraction form
    497.14/745.72 = 172.51/x
  3. Step 3: Cross multiply
    497.14x = 745.72 × 172.51
  4. Step 4: Simplify right side
    497.14x = 128,643.29
  5. Step 5: Solve for x
    x = 128,643.29/497.14
  6. Step 6: Final answer
    x = 258.77

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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.