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Finding the Fourth Proportional to 507.39, 761.04 and 214.77

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Solution

The fourth proportional to 507.39, 761.04 and 214.77 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 761.04 = 214.77 : x
  2. Step 2: Convert to fraction form
    507.39/761.04 = 214.77/x
  3. Step 3: Cross multiply
    507.39x = 761.04 × 214.77
  4. Step 4: Simplify right side
    507.39x = 163,448.56
  5. Step 5: Solve for x
    x = 163,448.56/507.39
  6. Step 6: Final answer
    x = 322.14

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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.