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Finding the Fourth Proportional to 598.48, 896.56 and 354.26

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Solution

The fourth proportional to 598.48, 896.56 and 354.26 is: 530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.48 : 896.56 = 354.26 : x
  2. Step 2: Convert to fraction form
    598.48/896.56 = 354.26/x
  3. Step 3: Cross multiply
    598.48x = 896.56 × 354.26
  4. Step 4: Simplify right side
    598.48x = 317,615.35
  5. Step 5: Solve for x
    x = 317,615.35/598.48
  6. Step 6: Final answer
    x = 530.70

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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.