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Finding the Fourth Proportional to 508.05, 700.45 and 414.63

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Solution

The fourth proportional to 508.05, 700.45 and 414.63 is: 571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.05 : 700.45 = 414.63 : x
  2. Step 2: Convert to fraction form
    508.05/700.45 = 414.63/x
  3. Step 3: Cross multiply
    508.05x = 700.45 × 414.63
  4. Step 4: Simplify right side
    508.05x = 290,426.55
  5. Step 5: Solve for x
    x = 290,426.55/508.05
  6. Step 6: Final answer
    x = 571.65

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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.