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Finding the Fourth Proportional to 595.25, 893.10 and 287.02

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Solution

The fourth proportional to 595.25, 893.10 and 287.02 is: 430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.25 : 893.10 = 287.02 : x
  2. Step 2: Convert to fraction form
    595.25/893.10 = 287.02/x
  3. Step 3: Cross multiply
    595.25x = 893.10 × 287.02
  4. Step 4: Simplify right side
    595.25x = 256,336.44
  5. Step 5: Solve for x
    x = 256,336.44/595.25
  6. Step 6: Final answer
    x = 430.64

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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.