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Finding the Fourth Proportional to 597.24, 895.62 and 289.00

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Solution

The fourth proportional to 597.24, 895.62 and 289.00 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 895.62 = 289.00 : x
  2. Step 2: Convert to fraction form
    597.24/895.62 = 289.00/x
  3. Step 3: Cross multiply
    597.24x = 895.62 × 289.00
  4. Step 4: Simplify right side
    597.24x = 258,836.38
  5. Step 5: Solve for x
    x = 258,836.38/597.24
  6. Step 6: Final answer
    x = 433.39

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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.