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Finding the Fourth Proportional to 565.02, 847.65 and 402.30

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Solution

The fourth proportional to 565.02, 847.65 and 402.30 is: 603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 847.65 = 402.30 : x
  2. Step 2: Convert to fraction form
    565.02/847.65 = 402.30/x
  3. Step 3: Cross multiply
    565.02x = 847.65 × 402.30
  4. Step 4: Simplify right side
    565.02x = 341,009.60
  5. Step 5: Solve for x
    x = 341,009.60/565.02
  6. Step 6: Final answer
    x = 603.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.