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Finding the Fourth Proportional to 504.78, 755.55 and 358.80

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Solution

The fourth proportional to 504.78, 755.55 and 358.80 is: 537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 755.55 = 358.80 : x
  2. Step 2: Convert to fraction form
    504.78/755.55 = 358.80/x
  3. Step 3: Cross multiply
    504.78x = 755.55 × 358.80
  4. Step 4: Simplify right side
    504.78x = 271,091.34
  5. Step 5: Solve for x
    x = 271,091.34/504.78
  6. Step 6: Final answer
    x = 537.05

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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.