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Finding the Fourth Proportional to 595.88, 894.08 and 287.67

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Solution

The fourth proportional to 595.88, 894.08 and 287.67 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.88 : 894.08 = 287.67 : x
  2. Step 2: Convert to fraction form
    595.88/894.08 = 287.67/x
  3. Step 3: Cross multiply
    595.88x = 894.08 × 287.67
  4. Step 4: Simplify right side
    595.88x = 257,200.71
  5. Step 5: Solve for x
    x = 257,200.71/595.88
  6. Step 6: Final answer
    x = 431.64

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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.