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Finding the Fourth Proportional to 507.36, 700.10 and 297.38

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Solution

The fourth proportional to 507.36, 700.10 and 297.38 is: 410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.36 : 700.10 = 297.38 : x
  2. Step 2: Convert to fraction form
    507.36/700.10 = 297.38/x
  3. Step 3: Cross multiply
    507.36x = 700.10 × 297.38
  4. Step 4: Simplify right side
    507.36x = 208,194.25
  5. Step 5: Solve for x
    x = 208,194.25/507.36
  6. Step 6: Final answer
    x = 410.35

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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.