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Finding the Fourth Proportional to 623.48, 935.58 and 461.54

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Solution

The fourth proportional to 623.48, 935.58 and 461.54 is: 692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.48 : 935.58 = 461.54 : x
  2. Step 2: Convert to fraction form
    623.48/935.58 = 461.54/x
  3. Step 3: Cross multiply
    623.48x = 935.58 × 461.54
  4. Step 4: Simplify right side
    623.48x = 431,807.59
  5. Step 5: Solve for x
    x = 431,807.59/623.48
  6. Step 6: Final answer
    x = 692.58

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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.