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Finding the Fourth Proportional to 504.78, 758.60 and 492.50

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Solution

The fourth proportional to 504.78, 758.60 and 492.50 is: 740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 758.60 = 492.50 : x
  2. Step 2: Convert to fraction form
    504.78/758.60 = 492.50/x
  3. Step 3: Cross multiply
    504.78x = 758.60 × 492.50
  4. Step 4: Simplify right side
    504.78x = 373,610.50
  5. Step 5: Solve for x
    x = 373,610.50/504.78
  6. Step 6: Final answer
    x = 740.15

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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.