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Finding the Fourth Proportional to 509.19, 702.04 and 415.84

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Solution

The fourth proportional to 509.19, 702.04 and 415.84 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 702.04 = 415.84 : x
  2. Step 2: Convert to fraction form
    509.19/702.04 = 415.84/x
  3. Step 3: Cross multiply
    509.19x = 702.04 × 415.84
  4. Step 4: Simplify right side
    509.19x = 291,936.31
  5. Step 5: Solve for x
    x = 291,936.31/509.19
  6. Step 6: Final answer
    x = 573.33

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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.