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Finding the Fourth Proportional to 357.93, 493.65 and 283.14

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Solution

The fourth proportional to 357.93, 493.65 and 283.14 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.93 : 493.65 = 283.14 : x
  2. Step 2: Convert to fraction form
    357.93/493.65 = 283.14/x
  3. Step 3: Cross multiply
    357.93x = 493.65 × 283.14
  4. Step 4: Simplify right side
    357.93x = 139,772.06
  5. Step 5: Solve for x
    x = 139,772.06/357.93
  6. Step 6: Final answer
    x = 390.50

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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.