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Finding the Fourth Proportional to 600.99, 829.67 and 424.35

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Solution

The fourth proportional to 600.99, 829.67 and 424.35 is: 585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.99 : 829.67 = 424.35 : x
  2. Step 2: Convert to fraction form
    600.99/829.67 = 424.35/x
  3. Step 3: Cross multiply
    600.99x = 829.67 × 424.35
  4. Step 4: Simplify right side
    600.99x = 352,068.34
  5. Step 5: Solve for x
    x = 352,068.34/600.99
  6. Step 6: Final answer
    x = 585.81

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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.