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Finding the Fourth Proportional to 524.01, 722.34 and 430.50

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Solution

The fourth proportional to 524.01, 722.34 and 430.50 is: 593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.01 : 722.34 = 430.50 : x
  2. Step 2: Convert to fraction form
    524.01/722.34 = 430.50/x
  3. Step 3: Cross multiply
    524.01x = 722.34 × 430.50
  4. Step 4: Simplify right side
    524.01x = 310,967.37
  5. Step 5: Solve for x
    x = 310,967.37/524.01
  6. Step 6: Final answer
    x = 593.44

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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.