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Finding the Fourth Proportional to 738.16, 1,018.52 and 462

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Solution

The fourth proportional to 738.16, 1,018.52 and 462 is: 637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,018.52 = 462 : x
  2. Step 2: Convert to fraction form
    738.16/1,018.52 = 462/x
  3. Step 3: Cross multiply
    738.16x = 1,018.52 × 462
  4. Step 4: Simplify right side
    738.16x = 470,556.24
  5. Step 5: Solve for x
    x = 470,556.24/738.16
  6. Step 6: Final answer
    x = 637.47

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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.