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Finding the Fourth Proportional to 588.36, 810.66 and 477.48

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Solution

The fourth proportional to 588.36, 810.66 and 477.48 is: 657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 810.66 = 477.48 : x
  2. Step 2: Convert to fraction form
    588.36/810.66 = 477.48/x
  3. Step 3: Cross multiply
    588.36x = 810.66 × 477.48
  4. Step 4: Simplify right side
    588.36x = 387,073.94
  5. Step 5: Solve for x
    x = 387,073.94/588.36
  6. Step 6: Final answer
    x = 657.89

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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.