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Finding the Fourth Proportional to 507.78, 699.60 and 470.16

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Solution

The fourth proportional to 507.78, 699.60 and 470.16 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.78 : 699.60 = 470.16 : x
  2. Step 2: Convert to fraction form
    507.78/699.60 = 470.16/x
  3. Step 3: Cross multiply
    507.78x = 699.60 × 470.16
  4. Step 4: Simplify right side
    507.78x = 328,923.94
  5. Step 5: Solve for x
    x = 328,923.94/507.78
  6. Step 6: Final answer
    x = 647.77

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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.