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Finding the Fourth Proportional to 588.90, 812.34 and 496.08

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Solution

The fourth proportional to 588.90, 812.34 and 496.08 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.90 : 812.34 = 496.08 : x
  2. Step 2: Convert to fraction form
    588.90/812.34 = 496.08/x
  3. Step 3: Cross multiply
    588.90x = 812.34 × 496.08
  4. Step 4: Simplify right side
    588.90x = 402,985.63
  5. Step 5: Solve for x
    x = 402,985.63/588.90
  6. Step 6: Final answer
    x = 684.30

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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.