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Finding the Fourth Proportional to 623.24, 934.71 and 258.14

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Solution

The fourth proportional to 623.24, 934.71 and 258.14 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.24 : 934.71 = 258.14 : x
  2. Step 2: Convert to fraction form
    623.24/934.71 = 258.14/x
  3. Step 3: Cross multiply
    623.24x = 934.71 × 258.14
  4. Step 4: Simplify right side
    623.24x = 241,281.37
  5. Step 5: Solve for x
    x = 241,281.37/623.24
  6. Step 6: Final answer
    x = 387.14

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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.