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Finding the Fourth Proportional to 504.78, 756.72 and 407.10

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Solution

The fourth proportional to 504.78, 756.72 and 407.10 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 756.72 = 407.10 : x
  2. Step 2: Convert to fraction form
    504.78/756.72 = 407.10/x
  3. Step 3: Cross multiply
    504.78x = 756.72 × 407.10
  4. Step 4: Simplify right side
    504.78x = 308,060.71
  5. Step 5: Solve for x
    x = 308,060.71/504.78
  6. Step 6: Final answer
    x = 610.29

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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.