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Finding the Fourth Proportional to 508.19, 700.67 and 414.84

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Solution

The fourth proportional to 508.19, 700.67 and 414.84 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.19 : 700.67 = 414.84 : x
  2. Step 2: Convert to fraction form
    508.19/700.67 = 414.84/x
  3. Step 3: Cross multiply
    508.19x = 700.67 × 414.84
  4. Step 4: Simplify right side
    508.19x = 290,663.87
  5. Step 5: Solve for x
    x = 290,663.87/508.19
  6. Step 6: Final answer
    x = 571.96

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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.