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Finding the Fourth Proportional to 532.49, 798.04 and 497.93

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Solution

The fourth proportional to 532.49, 798.04 and 497.93 is: 746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.49 : 798.04 = 497.93 : x
  2. Step 2: Convert to fraction form
    532.49/798.04 = 497.93/x
  3. Step 3: Cross multiply
    532.49x = 798.04 × 497.93
  4. Step 4: Simplify right side
    532.49x = 397,368.06
  5. Step 5: Solve for x
    x = 397,368.06/532.49
  6. Step 6: Final answer
    x = 746.25

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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.