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Finding the Fourth Proportional to 532.02, 732.60 and 444.54

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Solution

The fourth proportional to 532.02, 732.60 and 444.54 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.02 : 732.60 = 444.54 : x
  2. Step 2: Convert to fraction form
    532.02/732.60 = 444.54/x
  3. Step 3: Cross multiply
    532.02x = 732.60 × 444.54
  4. Step 4: Simplify right side
    532.02x = 325,670.00
  5. Step 5: Solve for x
    x = 325,670.00/532.02
  6. Step 6: Final answer
    x = 612.14

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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.