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Finding the Fourth Proportional to 591.24, 880.79 and 564.58

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Solution

The fourth proportional to 591.24, 880.79 and 564.58 is: 841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 880.79 = 564.58 : x
  2. Step 2: Convert to fraction form
    591.24/880.79 = 564.58/x
  3. Step 3: Cross multiply
    591.24x = 880.79 × 564.58
  4. Step 4: Simplify right side
    591.24x = 497,276.50
  5. Step 5: Solve for x
    x = 497,276.50/591.24
  6. Step 6: Final answer
    x = 841.08

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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.