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Finding the Fourth Proportional to 598.51, 824.47 and 532.16

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Solution

The fourth proportional to 598.51, 824.47 and 532.16 is: 733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.51 : 824.47 = 532.16 : x
  2. Step 2: Convert to fraction form
    598.51/824.47 = 532.16/x
  3. Step 3: Cross multiply
    598.51x = 824.47 × 532.16
  4. Step 4: Simplify right side
    598.51x = 438,749.96
  5. Step 5: Solve for x
    x = 438,749.96/598.51
  6. Step 6: Final answer
    x = 733.07

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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.