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Finding the Fourth Proportional to 593.12, 889.68 and 378.07

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Solution

The fourth proportional to 593.12, 889.68 and 378.07 is: 567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.12 : 889.68 = 378.07 : x
  2. Step 2: Convert to fraction form
    593.12/889.68 = 378.07/x
  3. Step 3: Cross multiply
    593.12x = 889.68 × 378.07
  4. Step 4: Simplify right side
    593.12x = 336,360.51
  5. Step 5: Solve for x
    x = 336,360.51/593.12
  6. Step 6: Final answer
    x = 567.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.