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Finding the Fourth Proportional to 593.64, 818.02 and 409.32

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Solution

The fourth proportional to 593.64, 818.02 and 409.32 is: 564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.64 : 818.02 = 409.32 : x
  2. Step 2: Convert to fraction form
    593.64/818.02 = 409.32/x
  3. Step 3: Cross multiply
    593.64x = 818.02 × 409.32
  4. Step 4: Simplify right side
    593.64x = 334,831.95
  5. Step 5: Solve for x
    x = 334,831.95/593.64
  6. Step 6: Final answer
    x = 564.03

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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.