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Finding the Fourth Proportional to 507.47, 700.08 and 341.63

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Solution

The fourth proportional to 507.47, 700.08 and 341.63 is: 471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.47 : 700.08 = 341.63 : x
  2. Step 2: Convert to fraction form
    507.47/700.08 = 341.63/x
  3. Step 3: Cross multiply
    507.47x = 700.08 × 341.63
  4. Step 4: Simplify right side
    507.47x = 239,164.83
  5. Step 5: Solve for x
    x = 239,164.83/507.47
  6. Step 6: Final answer
    x = 471.29

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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.