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Finding the Fourth Proportional to 593.77, 886.96 and 440.00

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Solution

The fourth proportional to 593.77, 886.96 and 440.00 is: 657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.77 : 886.96 = 440.00 : x
  2. Step 2: Convert to fraction form
    593.77/886.96 = 440.00/x
  3. Step 3: Cross multiply
    593.77x = 886.96 × 440.00
  4. Step 4: Simplify right side
    593.77x = 390,260.19
  5. Step 5: Solve for x
    x = 390,260.19/593.77
  6. Step 6: Final answer
    x = 657.26

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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.