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Finding the Fourth Proportional to 509.84, 702.60 and 393.04

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Solution

The fourth proportional to 509.84, 702.60 and 393.04 is: 541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.84 : 702.60 = 393.04 : x
  2. Step 2: Convert to fraction form
    509.84/702.60 = 393.04/x
  3. Step 3: Cross multiply
    509.84x = 702.60 × 393.04
  4. Step 4: Simplify right side
    509.84x = 276,149.90
  5. Step 5: Solve for x
    x = 276,149.90/509.84
  6. Step 6: Final answer
    x = 541.64

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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.