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Finding the Fourth Proportional to 507.85, 700.67 and 298.02

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Solution

The fourth proportional to 507.85, 700.67 and 298.02 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.85 : 700.67 = 298.02 : x
  2. Step 2: Convert to fraction form
    507.85/700.67 = 298.02/x
  3. Step 3: Cross multiply
    507.85x = 700.67 × 298.02
  4. Step 4: Simplify right side
    507.85x = 208,814.42
  5. Step 5: Solve for x
    x = 208,814.42/507.85
  6. Step 6: Final answer
    x = 411.18

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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.