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Finding the Fourth Proportional to 664.42, 916.98 and 384.74

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Solution

The fourth proportional to 664.42, 916.98 and 384.74 is: 530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.42 : 916.98 = 384.74 : x
  2. Step 2: Convert to fraction form
    664.42/916.98 = 384.74/x
  3. Step 3: Cross multiply
    664.42x = 916.98 × 384.74
  4. Step 4: Simplify right side
    664.42x = 352,798.89
  5. Step 5: Solve for x
    x = 352,798.89/664.42
  6. Step 6: Final answer
    x = 530.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.