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Finding the Fourth Proportional to 507.96, 703.62 and 466.92

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Solution

The fourth proportional to 507.96, 703.62 and 466.92 is: 646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 703.62 = 466.92 : x
  2. Step 2: Convert to fraction form
    507.96/703.62 = 466.92/x
  3. Step 3: Cross multiply
    507.96x = 703.62 × 466.92
  4. Step 4: Simplify right side
    507.96x = 328,534.25
  5. Step 5: Solve for x
    x = 328,534.25/507.96
  6. Step 6: Final answer
    x = 646.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.