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Finding the Fourth Proportional to 561.60, 830.64 and 561.60

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Solution

The fourth proportional to 561.60, 830.64 and 561.60 is: 830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.60 : 830.64 = 561.60 : x
  2. Step 2: Convert to fraction form
    561.60/830.64 = 561.60/x
  3. Step 3: Cross multiply
    561.60x = 830.64 × 561.60
  4. Step 4: Simplify right side
    561.60x = 466,487.42
  5. Step 5: Solve for x
    x = 466,487.42/561.60
  6. Step 6: Final answer
    x = 830.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.