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Finding the Fourth Proportional to 507.52, 760.98 and 214.94

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Solution

The fourth proportional to 507.52, 760.98 and 214.94 is: 322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 760.98 = 214.94 : x
  2. Step 2: Convert to fraction form
    507.52/760.98 = 214.94/x
  3. Step 3: Cross multiply
    507.52x = 760.98 × 214.94
  4. Step 4: Simplify right side
    507.52x = 163,565.04
  5. Step 5: Solve for x
    x = 163,565.04/507.52
  6. Step 6: Final answer
    x = 322.28

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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.