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Finding the Fourth Proportional to 601.83, 898.38 and 532.80

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Solution

The fourth proportional to 601.83, 898.38 and 532.80 is: 795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.83 : 898.38 = 532.80 : x
  2. Step 2: Convert to fraction form
    601.83/898.38 = 532.80/x
  3. Step 3: Cross multiply
    601.83x = 898.38 × 532.80
  4. Step 4: Simplify right side
    601.83x = 478,656.86
  5. Step 5: Solve for x
    x = 478,656.86/601.83
  6. Step 6: Final answer
    x = 795.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.