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Finding the Fourth Proportional to 585.64, 877.32 and 353.86

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Solution

The fourth proportional to 585.64, 877.32 and 353.86 is: 530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.64 : 877.32 = 353.86 : x
  2. Step 2: Convert to fraction form
    585.64/877.32 = 353.86/x
  3. Step 3: Cross multiply
    585.64x = 877.32 × 353.86
  4. Step 4: Simplify right side
    585.64x = 310,448.46
  5. Step 5: Solve for x
    x = 310,448.46/585.64
  6. Step 6: Final answer
    x = 530.10

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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.