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Finding the Fourth Proportional to 598.32, 898.24 and 434.24

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Solution

The fourth proportional to 598.32, 898.24 and 434.24 is: 651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 898.24 = 434.24 : x
  2. Step 2: Convert to fraction form
    598.32/898.24 = 434.24/x
  3. Step 3: Cross multiply
    598.32x = 898.24 × 434.24
  4. Step 4: Simplify right side
    598.32x = 390,051.74
  5. Step 5: Solve for x
    x = 390,051.74/598.32
  6. Step 6: Final answer
    x = 651.91

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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.