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Finding the Fourth Proportional to 504.72, 758.76 and 409.20

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Solution

The fourth proportional to 504.72, 758.76 and 409.20 is: 615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.72 : 758.76 = 409.20 : x
  2. Step 2: Convert to fraction form
    504.72/758.76 = 409.20/x
  3. Step 3: Cross multiply
    504.72x = 758.76 × 409.20
  4. Step 4: Simplify right side
    504.72x = 310,484.59
  5. Step 5: Solve for x
    x = 310,484.59/504.72
  6. Step 6: Final answer
    x = 615.16

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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.