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Finding the Fourth Proportional to 529.48, 794.69 and 282.89

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Solution

The fourth proportional to 529.48, 794.69 and 282.89 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.48 : 794.69 = 282.89 : x
  2. Step 2: Convert to fraction form
    529.48/794.69 = 282.89/x
  3. Step 3: Cross multiply
    529.48x = 794.69 × 282.89
  4. Step 4: Simplify right side
    529.48x = 224,804.47
  5. Step 5: Solve for x
    x = 224,804.47/529.48
  6. Step 6: Final answer
    x = 424.58

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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.