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Finding the Fourth Proportional to 586.53, 875.05 and 533.48

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Solution

The fourth proportional to 586.53, 875.05 and 533.48 is: 795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.53 : 875.05 = 533.48 : x
  2. Step 2: Convert to fraction form
    586.53/875.05 = 533.48/x
  3. Step 3: Cross multiply
    586.53x = 875.05 × 533.48
  4. Step 4: Simplify right side
    586.53x = 466,815.97
  5. Step 5: Solve for x
    x = 466,815.97/586.53
  6. Step 6: Final answer
    x = 795.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.