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Finding the Fourth Proportional to 592.40, 889.14 and 300.10

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Solution

The fourth proportional to 592.40, 889.14 and 300.10 is: 450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.40 : 889.14 = 300.10 : x
  2. Step 2: Convert to fraction form
    592.40/889.14 = 300.10/x
  3. Step 3: Cross multiply
    592.40x = 889.14 × 300.10
  4. Step 4: Simplify right side
    592.40x = 266,830.91
  5. Step 5: Solve for x
    x = 266,830.91/592.40
  6. Step 6: Final answer
    x = 450.42

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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.