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Finding the Fourth Proportional to 601.48, 824.63 and 590.52

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Solution

The fourth proportional to 601.48, 824.63 and 590.52 is: 809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.48 : 824.63 = 590.52 : x
  2. Step 2: Convert to fraction form
    601.48/824.63 = 590.52/x
  3. Step 3: Cross multiply
    601.48x = 824.63 × 590.52
  4. Step 4: Simplify right side
    601.48x = 486,960.51
  5. Step 5: Solve for x
    x = 486,960.51/601.48
  6. Step 6: Final answer
    x = 809.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.