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Finding the Fourth Proportional to 507.98, 700.74 and 340.22

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Solution

The fourth proportional to 507.98, 700.74 and 340.22 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 700.74 = 340.22 : x
  2. Step 2: Convert to fraction form
    507.98/700.74 = 340.22/x
  3. Step 3: Cross multiply
    507.98x = 700.74 × 340.22
  4. Step 4: Simplify right side
    507.98x = 238,405.76
  5. Step 5: Solve for x
    x = 238,405.76/507.98
  6. Step 6: Final answer
    x = 469.32

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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.