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Finding the Fourth Proportional to 593.65, 889.69 and 429.67

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Solution

The fourth proportional to 593.65, 889.69 and 429.67 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.65 : 889.69 = 429.67 : x
  2. Step 2: Convert to fraction form
    593.65/889.69 = 429.67/x
  3. Step 3: Cross multiply
    593.65x = 889.69 × 429.67
  4. Step 4: Simplify right side
    593.65x = 382,268.65
  5. Step 5: Solve for x
    x = 382,268.65/593.65
  6. Step 6: Final answer
    x = 643.93

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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.