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Finding the Fourth Proportional to 522.84, 780.96 and 435.60

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Solution

The fourth proportional to 522.84, 780.96 and 435.60 is: 650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 780.96 = 435.60 : x
  2. Step 2: Convert to fraction form
    522.84/780.96 = 435.60/x
  3. Step 3: Cross multiply
    522.84x = 780.96 × 435.60
  4. Step 4: Simplify right side
    522.84x = 340,186.18
  5. Step 5: Solve for x
    x = 340,186.18/522.84
  6. Step 6: Final answer
    x = 650.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.