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Finding the Fourth Proportional to 359.10, 534.83 and 346.34

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Solution

The fourth proportional to 359.10, 534.83 and 346.34 is: 515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 534.83 = 346.34 : x
  2. Step 2: Convert to fraction form
    359.10/534.83 = 346.34/x
  3. Step 3: Cross multiply
    359.10x = 534.83 × 346.34
  4. Step 4: Simplify right side
    359.10x = 185,232.63
  5. Step 5: Solve for x
    x = 185,232.63/359.10
  6. Step 6: Final answer
    x = 515.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.