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Finding the Fourth Proportional to 594.84, 890.64 and 508.17

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Solution

The fourth proportional to 594.84, 890.64 and 508.17 is: 760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 890.64 = 508.17 : x
  2. Step 2: Convert to fraction form
    594.84/890.64 = 508.17/x
  3. Step 3: Cross multiply
    594.84x = 890.64 × 508.17
  4. Step 4: Simplify right side
    594.84x = 452,596.53
  5. Step 5: Solve for x
    x = 452,596.53/594.84
  6. Step 6: Final answer
    x = 760.87

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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.