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Finding the Fourth Proportional to 532.16, 799.45 and 459.26

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Solution

The fourth proportional to 532.16, 799.45 and 459.26 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.16 : 799.45 = 459.26 : x
  2. Step 2: Convert to fraction form
    532.16/799.45 = 459.26/x
  3. Step 3: Cross multiply
    532.16x = 799.45 × 459.26
  4. Step 4: Simplify right side
    532.16x = 367,155.41
  5. Step 5: Solve for x
    x = 367,155.41/532.16
  6. Step 6: Final answer
    x = 689.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.