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Finding the Fourth Proportional to 589.52, 814.14 and 368.58

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Solution

The fourth proportional to 589.52, 814.14 and 368.58 is: 509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 814.14 = 368.58 : x
  2. Step 2: Convert to fraction form
    589.52/814.14 = 368.58/x
  3. Step 3: Cross multiply
    589.52x = 814.14 × 368.58
  4. Step 4: Simplify right side
    589.52x = 300,075.72
  5. Step 5: Solve for x
    x = 300,075.72/589.52
  6. Step 6: Final answer
    x = 509.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.