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Finding the Fourth Proportional to 507.01, 699.15 and 433.57

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Solution

The fourth proportional to 507.01, 699.15 and 433.57 is: 597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.01 : 699.15 = 433.57 : x
  2. Step 2: Convert to fraction form
    507.01/699.15 = 433.57/x
  3. Step 3: Cross multiply
    507.01x = 699.15 × 433.57
  4. Step 4: Simplify right side
    507.01x = 303,130.47
  5. Step 5: Solve for x
    x = 303,130.47/507.01
  6. Step 6: Final answer
    x = 597.88

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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.