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Finding the Fourth Proportional to 623.50, 934.74 and 380.30

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Solution

The fourth proportional to 623.50, 934.74 and 380.30 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.50 : 934.74 = 380.30 : x
  2. Step 2: Convert to fraction form
    623.50/934.74 = 380.30/x
  3. Step 3: Cross multiply
    623.50x = 934.74 × 380.30
  4. Step 4: Simplify right side
    623.50x = 355,476.95
  5. Step 5: Solve for x
    x = 355,476.95/623.50
  6. Step 6: Final answer
    x = 570.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.