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Finding the Fourth Proportional to 507.04, 699.58 and 297.10

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Solution

The fourth proportional to 507.04, 699.58 and 297.10 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.04 : 699.58 = 297.10 : x
  2. Step 2: Convert to fraction form
    507.04/699.58 = 297.10/x
  3. Step 3: Cross multiply
    507.04x = 699.58 × 297.10
  4. Step 4: Simplify right side
    507.04x = 207,849.10
  5. Step 5: Solve for x
    x = 207,849.10/507.04
  6. Step 6: Final answer
    x = 409.93

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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.