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Finding the Fourth Proportional to 509.63, 702.96 and 313.07

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Solution

The fourth proportional to 509.63, 702.96 and 313.07 is: 431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 702.96 = 313.07 : x
  2. Step 2: Convert to fraction form
    509.63/702.96 = 313.07/x
  3. Step 3: Cross multiply
    509.63x = 702.96 × 313.07
  4. Step 4: Simplify right side
    509.63x = 220,074.12
  5. Step 5: Solve for x
    x = 220,074.12/509.63
  6. Step 6: Final answer
    x = 431.83

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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.