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Finding the Fourth Proportional to 520.16, 780.93 and 405.35

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Solution

The fourth proportional to 520.16, 780.93 and 405.35 is: 608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 780.93 = 405.35 : x
  2. Step 2: Convert to fraction form
    520.16/780.93 = 405.35/x
  3. Step 3: Cross multiply
    520.16x = 780.93 × 405.35
  4. Step 4: Simplify right side
    520.16x = 316,546.07
  5. Step 5: Solve for x
    x = 316,546.07/520.16
  6. Step 6: Final answer
    x = 608.55

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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.