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Finding the Fourth Proportional to 614, 848 and 417.16

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Solution

The fourth proportional to 614, 848 and 417.16 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614 : 848 = 417.16 : x
  2. Step 2: Convert to fraction form
    614/848 = 417.16/x
  3. Step 3: Cross multiply
    614x = 848 × 417.16
  4. Step 4: Simplify right side
    614x = 353,751.68
  5. Step 5: Solve for x
    x = 353,751.68/614
  6. Step 6: Final answer
    x = 576.14

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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.