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Finding the Fourth Proportional to 624.27, 933.63 and 468.48

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Solution

The fourth proportional to 624.27, 933.63 and 468.48 is: 700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.27 : 933.63 = 468.48 : x
  2. Step 2: Convert to fraction form
    624.27/933.63 = 468.48/x
  3. Step 3: Cross multiply
    624.27x = 933.63 × 468.48
  4. Step 4: Simplify right side
    624.27x = 437,386.98
  5. Step 5: Solve for x
    x = 437,386.98/624.27
  6. Step 6: Final answer
    x = 700.64

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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.