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Finding the Fourth Proportional to 597.42, 896.04 and 288.99

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Solution

The fourth proportional to 597.42, 896.04 and 288.99 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.42 : 896.04 = 288.99 : x
  2. Step 2: Convert to fraction form
    597.42/896.04 = 288.99/x
  3. Step 3: Cross multiply
    597.42x = 896.04 × 288.99
  4. Step 4: Simplify right side
    597.42x = 258,946.60
  5. Step 5: Solve for x
    x = 258,946.60/597.42
  6. Step 6: Final answer
    x = 433.44

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1.5x scale

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.