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Finding the Fourth Proportional to 504.16, 755.02 and 256.72

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Solution

The fourth proportional to 504.16, 755.02 and 256.72 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.16 : 755.02 = 256.72 : x
  2. Step 2: Convert to fraction form
    504.16/755.02 = 256.72/x
  3. Step 3: Cross multiply
    504.16x = 755.02 × 256.72
  4. Step 4: Simplify right side
    504.16x = 193,828.73
  5. Step 5: Solve for x
    x = 193,828.73/504.16
  6. Step 6: Final answer
    x = 384.46

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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.