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Finding the Fourth Proportional to 597.74, 897.56 and 355.35

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Solution

The fourth proportional to 597.74, 897.56 and 355.35 is: 533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.74 : 897.56 = 355.35 : x
  2. Step 2: Convert to fraction form
    597.74/897.56 = 355.35/x
  3. Step 3: Cross multiply
    597.74x = 897.56 × 355.35
  4. Step 4: Simplify right side
    597.74x = 318,946.17
  5. Step 5: Solve for x
    x = 318,946.17/597.74
  6. Step 6: Final answer
    x = 533.59

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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.