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Finding the Fourth Proportional to 507.83, 700.98 and 360.89

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Solution

The fourth proportional to 507.83, 700.98 and 360.89 is: 498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.83 : 700.98 = 360.89 : x
  2. Step 2: Convert to fraction form
    507.83/700.98 = 360.89/x
  3. Step 3: Cross multiply
    507.83x = 700.98 × 360.89
  4. Step 4: Simplify right side
    507.83x = 252,978.41
  5. Step 5: Solve for x
    x = 252,978.41/507.83
  6. Step 6: Final answer
    x = 498.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.