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Finding the Fourth Proportional to 524.07, 723.06 and 419.04

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Solution

The fourth proportional to 524.07, 723.06 and 419.04 is: 578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 723.06 = 419.04 : x
  2. Step 2: Convert to fraction form
    524.07/723.06 = 419.04/x
  3. Step 3: Cross multiply
    524.07x = 723.06 × 419.04
  4. Step 4: Simplify right side
    524.07x = 302,991.06
  5. Step 5: Solve for x
    x = 302,991.06/524.07
  6. Step 6: Final answer
    x = 578.15

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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.