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Finding the Fourth Proportional to 509.69, 702.73 and 416.34

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Solution

The fourth proportional to 509.69, 702.73 and 416.34 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.69 : 702.73 = 416.34 : x
  2. Step 2: Convert to fraction form
    509.69/702.73 = 416.34/x
  3. Step 3: Cross multiply
    509.69x = 702.73 × 416.34
  4. Step 4: Simplify right side
    509.69x = 292,574.61
  5. Step 5: Solve for x
    x = 292,574.61/509.69
  6. Step 6: Final answer
    x = 574.02

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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.