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Finding the Fourth Proportional to 508.04, 760.94 and 325.16

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Solution

The fourth proportional to 508.04, 760.94 and 325.16 is: 487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.04 : 760.94 = 325.16 : x
  2. Step 2: Convert to fraction form
    508.04/760.94 = 325.16/x
  3. Step 3: Cross multiply
    508.04x = 760.94 × 325.16
  4. Step 4: Simplify right side
    508.04x = 247,427.25
  5. Step 5: Solve for x
    x = 247,427.25/508.04
  6. Step 6: Final answer
    x = 487.02

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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.