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Finding the Fourth Proportional to 590.09, 881.74 and 406.01

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Solution

The fourth proportional to 590.09, 881.74 and 406.01 is: 606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.09 : 881.74 = 406.01 : x
  2. Step 2: Convert to fraction form
    590.09/881.74 = 406.01/x
  3. Step 3: Cross multiply
    590.09x = 881.74 × 406.01
  4. Step 4: Simplify right side
    590.09x = 357,995.69
  5. Step 5: Solve for x
    x = 357,995.69/590.09
  6. Step 6: Final answer
    x = 606.68

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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.