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Finding the Fourth Proportional to 405.68, 607.84 and 314.48

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Solution

The fourth proportional to 405.68, 607.84 and 314.48 is: 471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.68 : 607.84 = 314.48 : x
  2. Step 2: Convert to fraction form
    405.68/607.84 = 314.48/x
  3. Step 3: Cross multiply
    405.68x = 607.84 × 314.48
  4. Step 4: Simplify right side
    405.68x = 191,153.52
  5. Step 5: Solve for x
    x = 191,153.52/405.68
  6. Step 6: Final answer
    x = 471.19

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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.