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Finding the Fourth Proportional to 582.66, 873.99 and 460.76

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Solution

The fourth proportional to 582.66, 873.99 and 460.76 is: 691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.66 : 873.99 = 460.76 : x
  2. Step 2: Convert to fraction form
    582.66/873.99 = 460.76/x
  3. Step 3: Cross multiply
    582.66x = 873.99 × 460.76
  4. Step 4: Simplify right side
    582.66x = 402,695.26
  5. Step 5: Solve for x
    x = 402,695.26/582.66
  6. Step 6: Final answer
    x = 691.13

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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.