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Finding the Fourth Proportional to 596.50, 895.52 and 459.64

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Solution

The fourth proportional to 596.50, 895.52 and 459.64 is: 690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 895.52 = 459.64 : x
  2. Step 2: Convert to fraction form
    596.50/895.52 = 459.64/x
  3. Step 3: Cross multiply
    596.50x = 895.52 × 459.64
  4. Step 4: Simplify right side
    596.50x = 411,616.81
  5. Step 5: Solve for x
    x = 411,616.81/596.50
  6. Step 6: Final answer
    x = 690.05

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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.