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Finding the Fourth Proportional to 560.23, 833.99 and 533.70

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Solution

The fourth proportional to 560.23, 833.99 and 533.70 is: 794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.23 : 833.99 = 533.70 : x
  2. Step 2: Convert to fraction form
    560.23/833.99 = 533.70/x
  3. Step 3: Cross multiply
    560.23x = 833.99 × 533.70
  4. Step 4: Simplify right side
    560.23x = 445,097.79
  5. Step 5: Solve for x
    x = 445,097.79/560.23
  6. Step 6: Final answer
    x = 794.49

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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.