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Finding the Fourth Proportional to 655.16, 904.12 and 389.62

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Solution

The fourth proportional to 655.16, 904.12 and 389.62 is: 537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.16 : 904.12 = 389.62 : x
  2. Step 2: Convert to fraction form
    655.16/904.12 = 389.62/x
  3. Step 3: Cross multiply
    655.16x = 904.12 × 389.62
  4. Step 4: Simplify right side
    655.16x = 352,263.39
  5. Step 5: Solve for x
    x = 352,263.39/655.16
  6. Step 6: Final answer
    x = 537.68

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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.