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Finding the Fourth Proportional to 607.50, 910.53 and 278.06

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Solution

The fourth proportional to 607.50, 910.53 and 278.06 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 910.53 = 278.06 : x
  2. Step 2: Convert to fraction form
    607.50/910.53 = 278.06/x
  3. Step 3: Cross multiply
    607.50x = 910.53 × 278.06
  4. Step 4: Simplify right side
    607.50x = 253,184.25
  5. Step 5: Solve for x
    x = 253,184.25/607.50
  6. Step 6: Final answer
    x = 416.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.