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Finding the Fourth Proportional to 501.64, 692.70 and 485.32

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Solution

The fourth proportional to 501.64, 692.70 and 485.32 is: 670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 692.70 = 485.32 : x
  2. Step 2: Convert to fraction form
    501.64/692.70 = 485.32/x
  3. Step 3: Cross multiply
    501.64x = 692.70 × 485.32
  4. Step 4: Simplify right side
    501.64x = 336,181.16
  5. Step 5: Solve for x
    x = 336,181.16/501.64
  6. Step 6: Final answer
    x = 670.16

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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.