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Finding the Fourth Proportional to 596.64, 895.76 and 577.20

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Solution

The fourth proportional to 596.64, 895.76 and 577.20 is: 866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 895.76 = 577.20 : x
  2. Step 2: Convert to fraction form
    596.64/895.76 = 577.20/x
  3. Step 3: Cross multiply
    596.64x = 895.76 × 577.20
  4. Step 4: Simplify right side
    596.64x = 517,032.67
  5. Step 5: Solve for x
    x = 517,032.67/596.64
  6. Step 6: Final answer
    x = 866.57

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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.