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Finding the Fourth Proportional to 623.07, 934.35 and 233

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Solution

The fourth proportional to 623.07, 934.35 and 233 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.07 : 934.35 = 233 : x
  2. Step 2: Convert to fraction form
    623.07/934.35 = 233/x
  3. Step 3: Cross multiply
    623.07x = 934.35 × 233
  4. Step 4: Simplify right side
    623.07x = 217,703.55
  5. Step 5: Solve for x
    x = 217,703.55/623.07
  6. Step 6: Final answer
    x = 349.40

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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.