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Finding the Fourth Proportional to 588.52, 812.48 and 430.99

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Solution

The fourth proportional to 588.52, 812.48 and 430.99 is: 595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 812.48 = 430.99 : x
  2. Step 2: Convert to fraction form
    588.52/812.48 = 430.99/x
  3. Step 3: Cross multiply
    588.52x = 812.48 × 430.99
  4. Step 4: Simplify right side
    588.52x = 350,170.76
  5. Step 5: Solve for x
    x = 350,170.76/588.52
  6. Step 6: Final answer
    x = 595.00

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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.