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Finding the Fourth Proportional to 365.40, 504.15 and 210.15

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Solution

The fourth proportional to 365.40, 504.15 and 210.15 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.40 : 504.15 = 210.15 : x
  2. Step 2: Convert to fraction form
    365.40/504.15 = 210.15/x
  3. Step 3: Cross multiply
    365.40x = 504.15 × 210.15
  4. Step 4: Simplify right side
    365.40x = 105,947.12
  5. Step 5: Solve for x
    x = 105,947.12/365.40
  6. Step 6: Final answer
    x = 289.95

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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.