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Finding the Fourth Proportional to 530.76, 795.76 and 283.80

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Solution

The fourth proportional to 530.76, 795.76 and 283.80 is: 425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 795.76 = 283.80 : x
  2. Step 2: Convert to fraction form
    530.76/795.76 = 283.80/x
  3. Step 3: Cross multiply
    530.76x = 795.76 × 283.80
  4. Step 4: Simplify right side
    530.76x = 225,836.69
  5. Step 5: Solve for x
    x = 225,836.69/530.76
  6. Step 6: Final answer
    x = 425.50

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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.