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Finding the Fourth Proportional to 507.90, 700.02 and 414.45

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Solution

The fourth proportional to 507.90, 700.02 and 414.45 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.90 : 700.02 = 414.45 : x
  2. Step 2: Convert to fraction form
    507.90/700.02 = 414.45/x
  3. Step 3: Cross multiply
    507.90x = 700.02 × 414.45
  4. Step 4: Simplify right side
    507.90x = 290,123.29
  5. Step 5: Solve for x
    x = 290,123.29/507.90
  6. Step 6: Final answer
    x = 571.22

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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.