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Finding the Fourth Proportional to 593.52, 889.20 and 465

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Solution

The fourth proportional to 593.52, 889.20 and 465 is: 696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.52 : 889.20 = 465 : x
  2. Step 2: Convert to fraction form
    593.52/889.20 = 465/x
  3. Step 3: Cross multiply
    593.52x = 889.20 × 465
  4. Step 4: Simplify right side
    593.52x = 413,478
  5. Step 5: Solve for x
    x = 413,478/593.52
  6. Step 6: Final answer
    x = 696.65

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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.