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Finding the Fourth Proportional to 650.58, 898.08 and 429.14

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Solution

The fourth proportional to 650.58, 898.08 and 429.14 is: 592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.58 : 898.08 = 429.14 : x
  2. Step 2: Convert to fraction form
    650.58/898.08 = 429.14/x
  3. Step 3: Cross multiply
    650.58x = 898.08 × 429.14
  4. Step 4: Simplify right side
    650.58x = 385,402.05
  5. Step 5: Solve for x
    x = 385,402.05/650.58
  6. Step 6: Final answer
    x = 592.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.