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Finding the Fourth Proportional to 597.69, 895.32 and 288.63

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Solution

The fourth proportional to 597.69, 895.32 and 288.63 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 895.32 = 288.63 : x
  2. Step 2: Convert to fraction form
    597.69/895.32 = 288.63/x
  3. Step 3: Cross multiply
    597.69x = 895.32 × 288.63
  4. Step 4: Simplify right side
    597.69x = 258,416.21
  5. Step 5: Solve for x
    x = 258,416.21/597.69
  6. Step 6: Final answer
    x = 432.36

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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.