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Finding the Fourth Proportional to 482.96, 723.53 and 410.06

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Solution

The fourth proportional to 482.96, 723.53 and 410.06 is: 614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.96 : 723.53 = 410.06 : x
  2. Step 2: Convert to fraction form
    482.96/723.53 = 410.06/x
  3. Step 3: Cross multiply
    482.96x = 723.53 × 410.06
  4. Step 4: Simplify right side
    482.96x = 296,693.55
  5. Step 5: Solve for x
    x = 296,693.55/482.96
  6. Step 6: Final answer
    x = 614.32

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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.