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Finding the Fourth Proportional to 588.88, 812.12 and 534.16

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Solution

The fourth proportional to 588.88, 812.12 and 534.16 is: 736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.88 : 812.12 = 534.16 : x
  2. Step 2: Convert to fraction form
    588.88/812.12 = 534.16/x
  3. Step 3: Cross multiply
    588.88x = 812.12 × 534.16
  4. Step 4: Simplify right side
    588.88x = 433,802.02
  5. Step 5: Solve for x
    x = 433,802.02/588.88
  6. Step 6: Final answer
    x = 736.66

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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.