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Finding the Fourth Proportional to 597.96, 890.98 and 533.30

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Solution

The fourth proportional to 597.96, 890.98 and 533.30 is: 794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 890.98 = 533.30 : x
  2. Step 2: Convert to fraction form
    597.96/890.98 = 533.30/x
  3. Step 3: Cross multiply
    597.96x = 890.98 × 533.30
  4. Step 4: Simplify right side
    597.96x = 475,159.63
  5. Step 5: Solve for x
    x = 475,159.63/597.96
  6. Step 6: Final answer
    x = 794.63

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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.