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Finding the Fourth Proportional to 507.57, 700.56 and 420.09

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Solution

The fourth proportional to 507.57, 700.56 and 420.09 is: 579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.57 : 700.56 = 420.09 : x
  2. Step 2: Convert to fraction form
    507.57/700.56 = 420.09/x
  3. Step 3: Cross multiply
    507.57x = 700.56 × 420.09
  4. Step 4: Simplify right side
    507.57x = 294,298.25
  5. Step 5: Solve for x
    x = 294,298.25/507.57
  6. Step 6: Final answer
    x = 579.82

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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.