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Finding the Fourth Proportional to 509.24, 701.21 and 435.40

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Solution

The fourth proportional to 509.24, 701.21 and 435.40 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 701.21 = 435.40 : x
  2. Step 2: Convert to fraction form
    509.24/701.21 = 435.40/x
  3. Step 3: Cross multiply
    509.24x = 701.21 × 435.40
  4. Step 4: Simplify right side
    509.24x = 305,306.17
  5. Step 5: Solve for x
    x = 305,306.17/509.24
  6. Step 6: Final answer
    x = 599.53

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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.