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Finding the Fourth Proportional to 592.64, 894.32 and 574.40

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Solution

The fourth proportional to 592.64, 894.32 and 574.40 is: 866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.64 : 894.32 = 574.40 : x
  2. Step 2: Convert to fraction form
    592.64/894.32 = 574.40/x
  3. Step 3: Cross multiply
    592.64x = 894.32 × 574.40
  4. Step 4: Simplify right side
    592.64x = 513,697.41
  5. Step 5: Solve for x
    x = 513,697.41/592.64
  6. Step 6: Final answer
    x = 866.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.