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Finding the Fourth Proportional to 507.65, 700.47 and 297.79

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Solution

The fourth proportional to 507.65, 700.47 and 297.79 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.65 : 700.47 = 297.79 : x
  2. Step 2: Convert to fraction form
    507.65/700.47 = 297.79/x
  3. Step 3: Cross multiply
    507.65x = 700.47 × 297.79
  4. Step 4: Simplify right side
    507.65x = 208,591.21
  5. Step 5: Solve for x
    x = 208,591.21/507.65
  6. Step 6: Final answer
    x = 410.90

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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.