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Finding the Fourth Proportional to 558.05, 838.02 and 465.40

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Solution

The fourth proportional to 558.05, 838.02 and 465.40 is: 698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.05 : 838.02 = 465.40 : x
  2. Step 2: Convert to fraction form
    558.05/838.02 = 465.40/x
  3. Step 3: Cross multiply
    558.05x = 838.02 × 465.40
  4. Step 4: Simplify right side
    558.05x = 390,014.51
  5. Step 5: Solve for x
    x = 390,014.51/558.05
  6. Step 6: Final answer
    x = 698.89

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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.