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Finding the Fourth Proportional to 507.15, 699.01 and 407.27

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Solution

The fourth proportional to 507.15, 699.01 and 407.27 is: 561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.15 : 699.01 = 407.27 : x
  2. Step 2: Convert to fraction form
    507.15/699.01 = 407.27/x
  3. Step 3: Cross multiply
    507.15x = 699.01 × 407.27
  4. Step 4: Simplify right side
    507.15x = 284,686.53
  5. Step 5: Solve for x
    x = 284,686.53/507.15
  6. Step 6: Final answer
    x = 561.35

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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.