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Finding the Fourth Proportional to 593.42, 889.59 and 304.25

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Solution

The fourth proportional to 593.42, 889.59 and 304.25 is: 456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.42 : 889.59 = 304.25 : x
  2. Step 2: Convert to fraction form
    593.42/889.59 = 304.25/x
  3. Step 3: Cross multiply
    593.42x = 889.59 × 304.25
  4. Step 4: Simplify right side
    593.42x = 270,657.76
  5. Step 5: Solve for x
    x = 270,657.76/593.42
  6. Step 6: Final answer
    x = 456.10

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