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Finding the Fourth Proportional to 506.84, 696.91 and 433.03

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Solution

The fourth proportional to 506.84, 696.91 and 433.03 is: 595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 696.91 = 433.03 : x
  2. Step 2: Convert to fraction form
    506.84/696.91 = 433.03/x
  3. Step 3: Cross multiply
    506.84x = 696.91 × 433.03
  4. Step 4: Simplify right side
    506.84x = 301,782.94
  5. Step 5: Solve for x
    x = 301,782.94/506.84
  6. Step 6: Final answer
    x = 595.42

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1.5x scale

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.