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Finding the Fourth Proportional to 507.61, 700.52 and 339.26

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Solution

The fourth proportional to 507.61, 700.52 and 339.26 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.61 : 700.52 = 339.26 : x
  2. Step 2: Convert to fraction form
    507.61/700.52 = 339.26/x
  3. Step 3: Cross multiply
    507.61x = 700.52 × 339.26
  4. Step 4: Simplify right side
    507.61x = 237,656.72
  5. Step 5: Solve for x
    x = 237,656.72/507.61
  6. Step 6: Final answer
    x = 468.19

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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.