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Finding the Fourth Proportional to 585.69, 877.61 and 469.53

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Solution

The fourth proportional to 585.69, 877.61 and 469.53 is: 703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.69 : 877.61 = 469.53 : x
  2. Step 2: Convert to fraction form
    585.69/877.61 = 469.53/x
  3. Step 3: Cross multiply
    585.69x = 877.61 × 469.53
  4. Step 4: Simplify right side
    585.69x = 412,061.88
  5. Step 5: Solve for x
    x = 412,061.88/585.69
  6. Step 6: Final answer
    x = 703.55

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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.