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Finding the Fourth Proportional to 594.24, 886.40 and 576

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Solution

The fourth proportional to 594.24, 886.40 and 576 is: 859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.24 : 886.40 = 576 : x
  2. Step 2: Convert to fraction form
    594.24/886.40 = 576/x
  3. Step 3: Cross multiply
    594.24x = 886.40 × 576
  4. Step 4: Simplify right side
    594.24x = 510,566.40
  5. Step 5: Solve for x
    x = 510,566.40/594.24
  6. Step 6: Final answer
    x = 859.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.