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Finding the Fourth Proportional to 614.72, 848.16 and 407.68

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Solution

The fourth proportional to 614.72, 848.16 and 407.68 is: 562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.72 : 848.16 = 407.68 : x
  2. Step 2: Convert to fraction form
    614.72/848.16 = 407.68/x
  3. Step 3: Cross multiply
    614.72x = 848.16 × 407.68
  4. Step 4: Simplify right side
    614.72x = 345,777.87
  5. Step 5: Solve for x
    x = 345,777.87/614.72
  6. Step 6: Final answer
    x = 562.50

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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.