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Finding the Fourth Proportional to 465.40, 698.10 and 417.40

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Solution

The fourth proportional to 465.40, 698.10 and 417.40 is: 626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 698.10 = 417.40 : x
  2. Step 2: Convert to fraction form
    465.40/698.10 = 417.40/x
  3. Step 3: Cross multiply
    465.40x = 698.10 × 417.40
  4. Step 4: Simplify right side
    465.40x = 291,386.94
  5. Step 5: Solve for x
    x = 291,386.94/465.40
  6. Step 6: Final answer
    x = 626.10

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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.