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Finding the Fourth Proportional to 508.18, 761.74 and 288.53

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Solution

The fourth proportional to 508.18, 761.74 and 288.53 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.18 : 761.74 = 288.53 : x
  2. Step 2: Convert to fraction form
    508.18/761.74 = 288.53/x
  3. Step 3: Cross multiply
    508.18x = 761.74 × 288.53
  4. Step 4: Simplify right side
    508.18x = 219,783.40
  5. Step 5: Solve for x
    x = 219,783.40/508.18
  6. Step 6: Final answer
    x = 432.49

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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.