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Finding the Fourth Proportional to 507.48, 700.56 and 505.86

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Solution

The fourth proportional to 507.48, 700.56 and 505.86 is: 698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 700.56 = 505.86 : x
  2. Step 2: Convert to fraction form
    507.48/700.56 = 505.86/x
  3. Step 3: Cross multiply
    507.48x = 700.56 × 505.86
  4. Step 4: Simplify right side
    507.48x = 354,385.28
  5. Step 5: Solve for x
    x = 354,385.28/507.48
  6. Step 6: Final answer
    x = 698.32

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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.