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Finding the Fourth Proportional to 585.84, 877.32 and 354.48

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Solution

The fourth proportional to 585.84, 877.32 and 354.48 is: 530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.84 : 877.32 = 354.48 : x
  2. Step 2: Convert to fraction form
    585.84/877.32 = 354.48/x
  3. Step 3: Cross multiply
    585.84x = 877.32 × 354.48
  4. Step 4: Simplify right side
    585.84x = 310,992.39
  5. Step 5: Solve for x
    x = 310,992.39/585.84
  6. Step 6: Final answer
    x = 530.85

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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.