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Finding the Fourth Proportional to 384.94, 530.28 and 322.77

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Solution

The fourth proportional to 384.94, 530.28 and 322.77 is: 444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.94 : 530.28 = 322.77 : x
  2. Step 2: Convert to fraction form
    384.94/530.28 = 322.77/x
  3. Step 3: Cross multiply
    384.94x = 530.28 × 322.77
  4. Step 4: Simplify right side
    384.94x = 171,160.46
  5. Step 5: Solve for x
    x = 171,160.46/384.94
  6. Step 6: Final answer
    x = 444.64

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