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Finding the Fourth Proportional to 585.88, 877.35 and 530.41

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Solution

The fourth proportional to 585.88, 877.35 and 530.41 is: 794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.88 : 877.35 = 530.41 : x
  2. Step 2: Convert to fraction form
    585.88/877.35 = 530.41/x
  3. Step 3: Cross multiply
    585.88x = 877.35 × 530.41
  4. Step 4: Simplify right side
    585.88x = 465,353.02
  5. Step 5: Solve for x
    x = 465,353.02/585.88
  6. Step 6: Final answer
    x = 794.28

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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.