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Finding the Fourth Proportional to 507.51, 700.43 and 297.77

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Solution

The fourth proportional to 507.51, 700.43 and 297.77 is: 410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 700.43 = 297.77 : x
  2. Step 2: Convert to fraction form
    507.51/700.43 = 297.77/x
  3. Step 3: Cross multiply
    507.51x = 700.43 × 297.77
  4. Step 4: Simplify right side
    507.51x = 208,565.79
  5. Step 5: Solve for x
    x = 208,565.79/507.51
  6. Step 6: Final answer
    x = 410.96

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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.