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Finding the Fourth Proportional to 509.24, 702.63 and 310.07

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Solution

The fourth proportional to 509.24, 702.63 and 310.07 is: 427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 702.63 = 310.07 : x
  2. Step 2: Convert to fraction form
    509.24/702.63 = 310.07/x
  3. Step 3: Cross multiply
    509.24x = 702.63 × 310.07
  4. Step 4: Simplify right side
    509.24x = 217,866.24
  5. Step 5: Solve for x
    x = 217,866.24/509.24
  6. Step 6: Final answer
    x = 427.82

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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.