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Finding the Fourth Proportional to 573.84, 793.35 and 424.23

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Solution

The fourth proportional to 573.84, 793.35 and 424.23 is: 586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 793.35 = 424.23 : x
  2. Step 2: Convert to fraction form
    573.84/793.35 = 424.23/x
  3. Step 3: Cross multiply
    573.84x = 793.35 × 424.23
  4. Step 4: Simplify right side
    573.84x = 336,561.35
  5. Step 5: Solve for x
    x = 336,561.35/573.84
  6. Step 6: Final answer
    x = 586.51

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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.