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Finding the Fourth Proportional to 407.47, 560.64 and 352.03

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Solution

The fourth proportional to 407.47, 560.64 and 352.03 is: 484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.47 : 560.64 = 352.03 : x
  2. Step 2: Convert to fraction form
    407.47/560.64 = 352.03/x
  3. Step 3: Cross multiply
    407.47x = 560.64 × 352.03
  4. Step 4: Simplify right side
    407.47x = 197,362.10
  5. Step 5: Solve for x
    x = 197,362.10/407.47
  6. Step 6: Final answer
    x = 484.36

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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.