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Finding the Fourth Proportional to 623.40, 935.10 and 404.70

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Solution

The fourth proportional to 623.40, 935.10 and 404.70 is: 607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 935.10 = 404.70 : x
  2. Step 2: Convert to fraction form
    623.40/935.10 = 404.70/x
  3. Step 3: Cross multiply
    623.40x = 935.10 × 404.70
  4. Step 4: Simplify right side
    623.40x = 378,434.97
  5. Step 5: Solve for x
    x = 378,434.97/623.40
  6. Step 6: Final answer
    x = 607.05

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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.