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Finding the Fourth Proportional to 405.84, 608.88 and 314.40

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Solution

The fourth proportional to 405.84, 608.88 and 314.40 is: 471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 608.88 = 314.40 : x
  2. Step 2: Convert to fraction form
    405.84/608.88 = 314.40/x
  3. Step 3: Cross multiply
    405.84x = 608.88 × 314.40
  4. Step 4: Simplify right side
    405.84x = 191,431.87
  5. Step 5: Solve for x
    x = 191,431.87/405.84
  6. Step 6: Final answer
    x = 471.69

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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.