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Finding the Fourth Proportional to 509.04, 702.57 and 477.78

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Solution

The fourth proportional to 509.04, 702.57 and 477.78 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 702.57 = 477.78 : x
  2. Step 2: Convert to fraction form
    509.04/702.57 = 477.78/x
  3. Step 3: Cross multiply
    509.04x = 702.57 × 477.78
  4. Step 4: Simplify right side
    509.04x = 335,673.89
  5. Step 5: Solve for x
    x = 335,673.89/509.04
  6. Step 6: Final answer
    x = 659.43

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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.