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Finding the Fourth Proportional to 655.70, 904.70 and 393.66

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Solution

The fourth proportional to 655.70, 904.70 and 393.66 is: 543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.70 : 904.70 = 393.66 : x
  2. Step 2: Convert to fraction form
    655.70/904.70 = 393.66/x
  3. Step 3: Cross multiply
    655.70x = 904.70 × 393.66
  4. Step 4: Simplify right side
    655.70x = 356,145.19
  5. Step 5: Solve for x
    x = 356,145.19/655.70
  6. Step 6: Final answer
    x = 543.16

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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.