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Finding the Fourth Proportional to 407.34, 561 and 352.02

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Solution

The fourth proportional to 407.34, 561 and 352.02 is: 484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.34 : 561 = 352.02 : x
  2. Step 2: Convert to fraction form
    407.34/561 = 352.02/x
  3. Step 3: Cross multiply
    407.34x = 561 × 352.02
  4. Step 4: Simplify right side
    407.34x = 197,483.22
  5. Step 5: Solve for x
    x = 197,483.22/407.34
  6. Step 6: Final answer
    x = 484.81

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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.