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Finding the Fourth Proportional to 524.34, 723.34 and 407.10

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Solution

The fourth proportional to 524.34, 723.34 and 407.10 is: 561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 723.34 = 407.10 : x
  2. Step 2: Convert to fraction form
    524.34/723.34 = 407.10/x
  3. Step 3: Cross multiply
    524.34x = 723.34 × 407.10
  4. Step 4: Simplify right side
    524.34x = 294,471.71
  5. Step 5: Solve for x
    x = 294,471.71/524.34
  6. Step 6: Final answer
    x = 561.60

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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.