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Finding the Fourth Proportional to 595.60, 893.58 and 287.46

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Solution

The fourth proportional to 595.60, 893.58 and 287.46 is: 431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.60 : 893.58 = 287.46 : x
  2. Step 2: Convert to fraction form
    595.60/893.58 = 287.46/x
  3. Step 3: Cross multiply
    595.60x = 893.58 × 287.46
  4. Step 4: Simplify right side
    595.60x = 256,868.48
  5. Step 5: Solve for x
    x = 256,868.48/595.60
  6. Step 6: Final answer
    x = 431.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.