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Finding the Fourth Proportional to 493.83, 681.51 and 284

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Solution

The fourth proportional to 493.83, 681.51 and 284 is: 391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.83 : 681.51 = 284 : x
  2. Step 2: Convert to fraction form
    493.83/681.51 = 284/x
  3. Step 3: Cross multiply
    493.83x = 681.51 × 284
  4. Step 4: Simplify right side
    493.83x = 193,547.42
  5. Step 5: Solve for x
    x = 193,547.42/493.83
  6. Step 6: Final answer
    x = 391.93

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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.