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Finding the Fourth Proportional to 586.72, 880.26 and 465.04

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Solution

The fourth proportional to 586.72, 880.26 and 465.04 is: 697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 880.26 = 465.04 : x
  2. Step 2: Convert to fraction form
    586.72/880.26 = 465.04/x
  3. Step 3: Cross multiply
    586.72x = 880.26 × 465.04
  4. Step 4: Simplify right side
    586.72x = 409,356.11
  5. Step 5: Solve for x
    x = 409,356.11/586.72
  6. Step 6: Final answer
    x = 697.70

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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.